GCF is used to simplify fractions, especially rates. For example, if you drive 480 miles using 20 gallons of gas, you can use GCF to simplify the fraction to a unit rate.
The GCF of 20 and 480 is 20. 480/20 can be simplified to 24 miles per 1 gallon of gas.
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The teaching of mathematics in school is graduated so that each task mastered leads to the next set of problems. There was a time in your life when you didn't know what 1 + 1 was. You mastered that. Mastering the GCF helps you to reduce fractions. Mastering the LCM helps you to add and subtract fractions. Let's look down the road. What else is about mastering the manipulation of numbers and fractions and percentages? Money. Every business uses that in some form or another.
When you are reducing equivalent fractions.
Gcf you use when you are finding the greatest factor for the numbers. Lcm you use when you are finding the smallest multiple in the numbers factors
The GCF is 4.
The LCM is 11592. The GCF is 2.
The GCF refers to whole numbers, not decimals.
The LCM is 1260. The GCF is 12.