Architecture

# What Is The Gcf Of 72 And 96, Methods To Find Gcf Of 72 And 96

You are watching: What is the gcf of 72 and 96 On this page we will define the GCF of 72 and 96, teach you the different ways of calculating the GCF of 72 and 96, and show you what you can use the GCF of 72 and 96 for.What is the GCF of 72 and 96?GCF is the abbreviation for Greatest Common Factor. Therefore, the GCF of 72 and 96 is the same as the Greatest Common Factor of 72 and 96. The GCF of 72 and 96 is the largest positive integer by which both 72 and 96 can be divided.Furthermore, both 72 and 96 have a set of factors and the GCF is the greatest factor that 72 and 96 have in common.Compare factors to get GCF of 72 and 96Per definition above, to find the GCF of 72 and 96, you can compare the factors of 72 with thefactors of 96 to see which factor is the greatest. When we did that, we foundthat the Greatest Common Factor (GCF) of 72 and 96 is 24.Use LCM to get GCF of 72 and 96The Least Common Multiple (LCM) of 72 and 96 is 288.

You can find the GCF of 72 and 96 by dividing the product of 72 and 96 by the LCM of 72 and 96.Here is the formula and math:

 Product of 72 and 96 LCM of 72 and 96
=GCF

 72 × 96 288
=24

Use computer spreadsheet to get GCF of 72 and 96If you have a computer, you can also use a spreadsheet in Excel or Numbers to calculate the GCF of 72 and 96. You want to type=gcf(72, 96) into a cell to get the answer.gcf(72, 96) = 24Use the GCF of 72 and 96 to simplify a fractionThe GCF of 72 and 96 can be used for many things. You can, for example, simplify a fraction by dividing the numerator and denominator bythe GCF like this:

 72 ÷ 24 96 ÷ 24
=
 3 4

Use GCF of 72 and 96 to simplify a ratioSimilarly, you can use the GCF of 72 and 96 to simplify a ratio by dividing each part of the ratio bythe GCF like this:= 72 : 96= (72 ÷ 24) : (96 ÷ 24)= 3 : 4Use the GCF of 72 and 96 to find the LCM of 72 and 96Since using the Least Common Multiple (LCM) is one of the ways to find the GCF of 72 and 96, you can use the GCF of 72 and 96 to find the LCM of 72 and 96.The LCM of 72 and 96 can, for example, be used to add and subtract fractions with denominators of 72 and 96.The LCM of 72 and 96 is the product of 72 and 96 divided by the GCF of 72 and 96. Here is the math:

 Product of 72 and 96 GCF of 72 and 96
=LCM

 72 × 96 24
=288

That is all there is to it! We hope this page accomplished its goal of defining the GCF of 72 and 96 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.