greatest common factor of 28 104 and 76

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1. Decompose the numbers into their prime factors.

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2. Underline the factors that all the original numbers have in common.

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3. Multiply the underlined numbers to get the GCF.

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Sample questions

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1. Find the greatest common factor of 12 and 20.

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   4. Write down all the factor pairs of 12 and 20:

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   Factor pairs of 12: 1 x 12, 2 x 6, 3 x 4

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   Factor pairs of 20: 1 x 20, 2 x 10, 4 x 5

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   The number 4 is the greatest number that appears in both lists of factor pairs, so its the GCF.

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2. Find the greatest common factor of 24, 36, and 42.

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   6. Decompose all three numbers down to their prime factors:

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   24 = 2 x 2 x 2 x 3

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   36 = 2 x 2 x 3 x 3

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   42 = 2 x 3 x 7

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   Underline all factors that are common to all three numbers:

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   24 = 2 x 2 x 2 x 3

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   36 = 2 x 2 x 3 x 3

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   42 = 2 x 3 x 7

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   Multiply those underlined numbers to get your answer:

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   2 x 3 = 6

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Practice questions

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1. Find the greatest common factor of 10 and 22.

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2. Whats the GCF of 8 and 32?

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3. Find the GCF of 30 and 45.

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4. Figure out the GCF of 27 and 72.

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5. Find the GCF of 15, 20, and 35.

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6. Figure out the GCF of 44, 56, and 72.

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Following are the answers to the practice questions:

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1. The GCF of 10 and 22 is 2.

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   Write down all the factor pairs of 10 and 22:

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   10: 1 x 10, 2 x 5

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   22: 1 x 22, 2 x 11

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   The number 2 is the greatest number that appears on both lists.

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2. The GCF of 8 and 32 is 8.

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   Write down all the factor pairs of 8 and 32:

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   8: 1 x 8, 2 x 4

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   32: 1 x 32, 2 x 16, 4 x 8

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   The greatest number that appears on both lists is 8.

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3. The GCF of 30 and 45 is 15.

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   Write down all the factor pairs of 30 and 45:

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   30: 1 x 30, 2 x 15, 3 x 10, 5 x 6

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   45: 1 x 45, 3 x 15, 5 x 9

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   The greatest number that appears on both lists is 15.

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4. The GCF of 27 and 72 is 9.

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   Decompose 27 and 72 into their prime factors and underline every factor thats common to both:

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   27 = 3 x 3 x 3

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   72 = 2 x 2 x 2 x 3 x 3

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   Multiply those underlined numbers to get your answer: 3 x 3 = 9.

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5. The GCF of 15, 20, and 35 is 5.

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   Decompose the three numbers into their prime factors and underline every factor thats common to all three:

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   15 = 3 x 5

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   20 = 2 x 2 x 5

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   35 = 5 x 7

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   The only factor common to all three numbers is 5.

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6. The GCF of 44, 56, and 72 is 4.

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   Decompose all three numbers to their prime factors and underline each factor thats common to all three:

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   44 = 2 x 2 x 11

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   56 = 2 x 2 x 2 x 7

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   72 = 2 x 2 x 2 x 3 x 3

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   Multiply those underlined numbers to get your answer: 2 x 2 = 4.

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The greatest common factor (GCF) of a set of numbers is the largest number thats a factor of every number in that set. . [2] Weisstein, Eric W. "Greatest Common Divisor." All tip submissions are carefully reviewed before being published. In mathematics, the greatest common factor or greatest common divisor of two or more integers is the largest positive integer that divides each of the integers completely.. 4. The factors of 12 include: 1, 2, 3, 4, 6, and 12. As the numbers get larger, or you want to compare multiple numbers at the same time to find the GCF, you can see how listing out all of the factors would become too much. The greatest common factor (GCF) is the largest whole number which is shared by given numbers. All Factors Calculator Introduction to Fractions Greatest Common Factor . Retrieved from http://visualfractions.com/calculator/greatest-common-factor/gcf-of-76-28-and-104/. A common factor is a factor that is shared between two different numbers. Factors are numbers we can multiply together to get another number: Factors of 12 are 1, 2, 3, 4, 6 and 12 Greatest Common Factor (GCF, HCF, GCD) Calculator, https://www.calculatorsoup.com/calculators/math/gcf.php. Created by Sal Khan. Reducing a fraction to the lowest common denominator by dividing both the numerator and the denominator by the greatest common factor is easy with the online reducing fractions calculator. lists: It is a common factor when it is a factor of two (or more) numbers. HCF stands for Highest Common Factor also known as GCF & GCD as well. In this case, the greatest common factor is 4. Heres how to find the GCF: Decompose the numbers into their prime factors. They do have certain applications within science and mathematics. The first option is to list all the factor pairs of the numbers and choose the largest factor that appears in both (or all) the lists. The consent submitted will only be used for data processing originating from this website. If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. The prime factorization of 60 is 2 x 3 x 5. Finding GCF for 8 and 76 using all factors (divisors) listing. The factors of 76 are 1, 2, 4, 19, 38 and 76. On the other hand, if you prefer using binary or Euclidean algorithms to estimate what is the GCF of multiple numbers, you can also use a theorem which states that: gcf(a, b, c) = gcf(gcf(a, b), c) = gcf(gcf(a, c), b) = gcf(gcf(b, c), a). We can use exponent notation to write products as: If only one of the numbers is even, let's say, Steps 2-4 are repeated until reaching step 1 or if. Because the factors of the number 18 and 21 are: Factors of 18 = 29 =233. Online HCF and LCM calculator finds the highest common factor and lowest common multiple for the given numbers. of a number set can be easy, but there are several steps you'll need to follow to get there. From greatest to least, check if each factor divides evenly into 143. In this section, we will learn about factors, common factors, and greatest common factor.Before moving to the greatest common factor, first, we will understand factor and common factor. Find the greatest common factor of 12 and 20. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4. For example, common factors of 10 and 20 are 1, 2, 5 and 10, but the highest of those is 10; therefore, the greatest common factor of 10 and 20 is 10. Factoring Calculator or a GCF. Solution: Step 1 - Represent the numbers in the prime factored form. The prime factorization of 27 is 3 x 3 x 3 = 27. 1998-2023 VisualFractions.com. Find the prime factorization of 28. Therefore, GCF of 60 and 90 = 30. GCD and Okay, and how to find the Greatest Common Factor of 33264 and 35640 using the binary method? Solution: We have to list the factors of 95 and 76. The second method to find GCF for numbers 24 and 76 is to list all Prime Factors for both numbers and multiply the common ones: All Prime Factors of 24 : 2, 2, 2, 3. X It doesn't really mean that either of them is a prime number, just the list of shared factors is empty. Instead of listing all of the possible factors, we find only the ones which are prime numbers. Final Step: Biggest Common Factor Number. Whether it's to pass that big test, qualify for that big promotion or even master that cooking technique; people who rely on dummies, rely on it to learn the critical skills and relevant information necessary for success. GCF and so on. another example: 2. Read more about Common Factors below. For example, in: 3 and 4 are the factors. Each of the numbers can be divided by 1, 3, 9, and 27, so you can say that these numbers are common factors of the set of numbers 27, 54, and 81. It is also known as the Greatest Common Divisor, Greatest Common Denominator (GCD), Highest Common Factor (HCF), or Highest Common Divisor (HCD). The prime factorization of 120 is 2 x 2 x 2 x 3 x 5 = 120. It doesn't matter which two we choose first. 291 TELEPH O NE 332-4601 SALEM. Put simply, the GCF of a set of whole numbers is the largest positive integer (i.e whole number and not a decimal) that divides evenly into all of the numbers in the set. Another commonly used procedure which can be treated as a Greatest Common Divisor calculator utilizes the prime factorization. The GCD calculator allows you to quickly find the greatest common divisor of a set of numbers. Want to quickly learn or show students how to find the GCF of two or more numbers? From a practical point of view, we consider only positive ones. Finding the GCF is helpful when you want","noIndex":0,"noFollow":0},"content":"

The greatest common factor (GCF) of a set of numbers is the largest number thats a factor of every number in that set. In this example, 5 and 0 are factors of 0. The hot car calculator shows how fast a car's interior heats up during a summer day. greatest common factor (GCF).