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You are watching: Greatest common factor of 75 and 100 On this page we will define the GCF of 75 and 100, teach you the different ways of calculating the GCF of 75 and 100, and show you what you can use the GCF of 75 and 100 for.What is the GCF of 75 and 100?GCF is the abbreviation for Greatest Common Factor. Therefore, the GCF of 75 and 100 is the same as the Greatest Common Factor of 75 and 100. The GCF of 75 and 100 is the largest positive integer by which both 75 and 100 can be divided.Furthermore, both 75 and 100 have a set of factors and the GCF is the greatest factor that 75 and 100 have in common.Compare factors to get GCF of 75 and 100Per definition above, to find the GCF of 75 and 100, you can compare the factors of 75 with thefactors of 100 to see which factor is the greatest. When we did that, we foundthat the Greatest Common Factor (GCF) of 75 and 100 is 25.Use LCM to get GCF of 75 and 100The Least Common Multiple (LCM) of 75 and 100 is 300. You can find the GCF of 75 and 100 by dividing the product of 75 and 100 by the LCM of 75 and 100.Here is the formula and math:
 Product of 75 and 100 LCM of 75 and 100
=GCF
 75 × 100 300
=25
Use computer spreadsheet to get GCF of 75 and 100If you have a computer, you can also use a spreadsheet in Excel or Numbers to calculate the GCF of 75 and 100. You want to type=gcf(75, 100) into a cell to get the answer.gcf(75, 100) = 25Use the GCF of 75 and 100 to simplify a fractionThe GCF of 75 and 100 can be used for many things. You can, for example, simplify a fraction by dividing the numerator and denominator bythe GCF like this:
 75 ÷ 25 100 ÷ 25
=
 3 4
Use GCF of 75 and 100 to simplify a ratioSimilarly, you can use the GCF of 75 and 100 to simplify a ratio by dividing each part of the ratio bythe GCF like this:= 75 : 100= (75 ÷ 25) : (100 ÷ 25)= 3 : 4Use the GCF of 75 and 100 to find the LCM of 75 and 100Since using the Least Common Multiple (LCM) is one of the ways to find the GCF of 75 and 100, you can use the GCF of 75 and 100 to find the LCM of 75 and 100.The LCM of 75 and 100 can, for example, be used to add and subtract fractions with denominators of 75 and 100.The LCM of 75 and 100 is the product of 75 and 100 divided by the GCF of 75 and 100.

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Here is the math:
 Product of 75 and 100 GCF of 75 and 100
=LCM
 75 × 100 25
=300
That is all there is to it! We hope this page accomplished its goal of defining the GCF of 75 and 100 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.