What are the factors of 56 and 21?

On this page we will define the GCF of 21 and 56, teach you the different ways of calculating the GCF of 21 and 56, and show you what you can use the GCF of 21 and 56 for.

What is the GCF of 21 and 56?

GCF is the abbreviation for Greatest Common Factor. Therefore, the GCF of 21 and 56 is the same as the Greatest Common Factor of 21 and 56. The GCF of 21 and 56 is the largest positive integer by which both 21 and 56 can be divided. Furthermore, both 21 and 56 have a set of factors and the GCF is the greatest factor that 21 and 56 have in common.

Compare factors to get GCF of 21 and 56
Per definition above, to find the GCF of 21 and 56, you can compare the factors of 21 with the factors of 56 to see which factor is the greatest. When we did that, we found that the Greatest Common Factor (GCF) of 21 and 56 is 7.
Use LCM to get GCF of 21 and 56 The Least Common Multiple (LCM) of 21 and 56 is 168. You can find the GCF of 21 and 56 by dividing the product of 21 and 56 by the LCM of 21 and 56. Here is the formula and math:

		Product of 21 and 56
		LCM of 21 and 56

= GCF

Use computer spreadsheet to get GCF of 21 and 56 If you have a computer, you can also use a spreadsheet in Excel or Numbers to calculate the GCF of 21 and 56. You want to type =gcf(21, 56) into a cell to get the answer.

gcf(21, 56) = 7

Use the GCF of 21 and 56 to simplify a fraction The GCF of 21 and 56 can be used for many things. You can, for example, simplify a fraction by dividing the numerator and denominator by the GCF like this:

Use GCF of 21 and 56 to simplify a ratio Similarly, you can use the GCF of 21 and 56 to simplify a ratio by dividing each part of the ratio by the GCF like this: = 21 : 56 = (21 ÷ 7) : (56 ÷ 7) = 3 : 8
Use the GCF of 21 and 56 to find the LCM of 21 and 56 Since using the Least Common Multiple (LCM) is one of the ways to find the GCF of 21 and 56, you can use the GCF of 21 and 56 to find the LCM of 21 and 56. The LCM of 21 and 56 can, for example, be used to add and subtract fractions with denominators of 21 and 56. The LCM of 21 and 56 is the product of 21 and 56 divided by the GCF of 21 and 56. Here is the math:

		Product of 21 and 56
		GCF of 21 and 56

= LCM

That is all there is to it! We hope this page accomplished its goal of defining the GCF of 21 and 56 by showing you how to calculate the GCF, examples of its uses, and how it relates to LCM.

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GCF of 21 and 57

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On this page we will define the GCF of 56 and 21, teach you the different ways of calculating the GCF of 56 and 21, and show you what you can use the GCF of 56 and 21 for.

What is the GCF of 56 and 21?

GCF is the abbreviation for Greatest Common Factor. Therefore, the GCF of 56 and 21 is the same as the Greatest Common Factor of 56 and 21. The GCF of 56 and 21 is the largest positive integer by which both 56 and 21 can be divided. Furthermore, both 56 and 21 have a set of factors and the GCF is the greatest factor that 56 and 21 have in common.

Compare factors to get GCF of 56 and 21
Per definition above, to find the GCF of 56 and 21, you can compare the factors of 56 with the factors of 21 to see which factor is the greatest. When we did that, we found that the Greatest Common Factor (GCF) of 56 and 21 is 7.
Use LCM to get GCF of 56 and 21 The Least Common Multiple (LCM) of 56 and 21 is 168. You can find the GCF of 56 and 21 by dividing the product of 56 and 21 by the LCM of 56 and 21. Here is the formula and math:

		Product of 56 and 21
		LCM of 56 and 21

= GCF

Use computer spreadsheet to get GCF of 56 and 21 If you have a computer, you can also use a spreadsheet in Excel or Numbers to calculate the GCF of 56 and 21. You want to type =gcf(56, 21) into a cell to get the answer.

gcf(56, 21) = 7

Use the GCF of 56 and 21 to simplify a fraction The GCF of 56 and 21 can be used for many things. You can, for example, simplify a fraction by dividing the numerator and denominator by the GCF like this:

Use GCF of 56 and 21 to simplify a ratio Similarly, you can use the GCF of 56 and 21 to simplify a ratio by dividing each part of the ratio by the GCF like this: = 56 : 21 = (56 ÷ 7) : (21 ÷ 7) = 8 : 3
Use the GCF of 56 and 21 to find the LCM of 56 and 21 Since using the Least Common Multiple (LCM) is one of the ways to find the GCF of 56 and 21, you can use the GCF of 56 and 21 to find the LCM of 56 and 21. The LCM of 56 and 21 can, for example, be used to add and subtract fractions with denominators of 56 and 21. The LCM of 56 and 21 is the product of 56 and 21 divided by the GCF of 56 and 21. Here is the math:

		Product of 56 and 21
		GCF of 56 and 21

= LCM

That is all there is to it! We hope this page accomplished its goal of defining the GCF of 56 and 21 by showing you how to calculate the GCF, examples of its uses, and how it relates to LCM.

GCF Calculator

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GCF of 56 and 22

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What is the LCM and GCF of 21 and 56?

The question "What is the LCM and GCF of 21 and 56?" can be split into two questions: "What is the LCM of 21 and 56?" and "What is the GCF of 21 and 56?" In the question "What is the LCM and GCF of 21 and 56?", LCM is the abbreviation of Least Common Multiple and GCF is the abbreviation of Greatest Common Factor. To find the LCM, we first list the multiples of 21 and 56 and then we find the smallest multiple they have in common. To find the multiples of any number, you simply multiply the number by 1, then by 2, then by 3 and so on. Here is the beginning list of multiples of 21 and 56:

Multiples of 21: 21, 42, 63, 84, 105, 126, etc.

Multiples of 56: 56, 112, 168, 224, 280, 336, etc.

The least multiple on the two lists that they have in common is the LCM of 21 and 56. Therefore, the LCM of 21 and 56 is 168. To find the GCF, we first list the factors of 21 and 56 and then we find the largest factor they have in common. The factors of any number, are all the numbers that you can evenly divide into that number. In other words, the factors of 21 are all the numbers that can evenly divide into 21, and the factors of 56 are all the numbers that can evenly divide into 56. Here are the factors for 21 and 56:

Factors of 21: 1, 3, 7, and 21.

Factors of 56: 1, 2, 4, 7, 8, 14, 28, and 56.

The greatest factor on the two lists that they have in common is the GCF of 21 and 56. Therefore, the GCF of 21 and 56 is 7.

In summary, the answer to the question "What is the LCM and GCF of 21 and 56?" is 168 and 7.

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What is the LCM and GCF of 21 and 57?

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The GCF of 21 and 56 is 7.

Steps to find GCF

Find the prime factorization of 21
21 = 3 × 7
Find the prime factorization of 56
56 = 2 × 2 × 2 × 7
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 7

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Find hcf of: 42 & 112 63 & 168 105 & 280 147 & 392 3 & 8 42 & 56 21 & 112 63 & 56 21 & 168 105 & 56 21 & 280 147 & 56 21 & 392

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The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).