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You are watching: What is the hcf of 24 and 30 On this page we will define the GCF of 24 and 30, teach you the different ways of calculating the GCF of 24 and 30, and show you what you can use the GCF of 24 and 30 for.What is the GCF of 24 and 30?GCF is the abbreviation for Greatest Common Factor. Therefore, the GCF of 24 and 30 is the same as the Greatest Common Factor of 24 and 30. The GCF of 24 and 30 is the largest positive integer by which both 24 and 30 can be divided.Furthermore, both 24 and 30 have a set of factors and the GCF is the greatest factor that 24 and 30 have in common.Compare factors to get GCF of 24 and 30Per definition above, to find the GCF of 24 and 30, you can compare the factors of 24 with thefactors of 30 to see which factor is the greatest. When we did that, we foundthat the Greatest Common Factor (GCF) of 24 and 30 is 6.Use LCM to get GCF of 24 and 30The Least Common Multiple (LCM) of 24 and 30 is 120. You can find the GCF of 24 and 30 by dividing the product of 24 and 30 by the LCM of 24 and 30.Here is the formula and math:
 Product of 24 and 30 LCM of 24 and 30
=GCF
 24 × 30 120
=6
Use computer spreadsheet to get GCF of 24 and 30If you have a computer, you can also use a spreadsheet in Excel or Numbers to calculate the GCF of 24 and 30. You want to type=gcf(24, 30) into a cell to get the answer.gcf(24, 30) = 6Use the GCF of 24 and 30 to simplify a fractionThe GCF of 24 and 30 can be used for many things. You can, for example, simplify a fraction by dividing the numerator and denominator bythe GCF like this:
 24 ÷ 6 30 ÷ 6
=
 4 5
Use GCF of 24 and 30 to simplify a ratioSimilarly, you can use the GCF of 24 and 30 to simplify a ratio by dividing each part of the ratio bythe GCF like this:= 24 : 30= (24 ÷ 6) : (30 ÷ 6)= 4 : 5Use the GCF of 24 and 30 to find the LCM of 24 and 30Since using the Least Common Multiple (LCM) is one of the ways to find the GCF of 24 and 30, you can use the GCF of 24 and 30 to find the LCM of 24 and 30.The LCM of 24 and 30 can, for example, be used to add and subtract fractions with denominators of 24 and 30.The LCM of 24 and 30 is the product of 24 and 30 divided by the GCF of 24 and 30.

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Here is the math:
 Product of 24 and 30 GCF of 24 and 30
=LCM
 24 × 30 6
=120
That is all there is to it! We hope this page accomplished its goal of defining the GCF of 24 and 30 by showing you how to calculate the GCF, examples of its uses, and how it relates to LCM. GCF CalculatorUse the GCF Calculator to solve a problem similar to the one explained on this page.