Simplifying Fractions using GCF

Factor A number that divides evenly into another number.

Common Factor When two numbers have the same factor.

Greatest Common Factor The greatest common factor is the largest factor between two numbers. 12 = 1, 2, 3, 4, 6, 12 18 = 1, 2, 3, 6, 9, 18 GCF = 6

What is the Greatest Common Factor? 8 = 1, 2, 4, 8 12 = 1, 2, 3, 4, 6, 12 GCF = 4

What is the Greatest Common Factor? 6 = 1, 2, 3, 6 18 = 1, 2, 3, 6, 9, 15 GCF = 6

Simplest Form When the only common factor of the numerator and denominator is 1, the fraction is in simplest form, or it is reduced to lowest terms. 3 1 3 ÷ = 4 1 4

How to Simply a Fraction Find the greatest common factor of the numerator and the denominator and divide both by that number.

Simplifying a Fraction: 12 6 2 ÷ = 18 6 3

Simplify: 9 3 3 ÷ = 21 3 7

Simplify: 12 4 3 ÷ = 4 5 20

Simplify: 10 5 2 ÷ = 15 5 3

Simplify: 10 2 5 ÷ = 16 2 8

Simplify: 12 4 3 ÷ = 16 4 4

Simplify: 3 3 1 ÷ = 12 3 4

Simplify: 2 2 1 ÷ = 4 2 2

Simplify: 6 3 2 ÷ = 9 3 3

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