1. Simplifying Fractions using GCF

2. Factor
A number that divides evenly into another number.

3. Common Factor
When two numbers
have the same factor.

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

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

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

7. 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

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

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

10. Simplify: 9 3 3 ÷ = 21 3 7

11. Simplify: 12 4 3 ÷ = 4 5 20

12. Simplify: 10 5 2 ÷ = 15 5 3

13. Simplify: 10 2 5 ÷ = 16 2 8

14. Simplify: 12 4 3 ÷ = 16 4 4

15. Simplify: 3 3 1 ÷ = 12 3 4

16. Simplify: 2 2 1 ÷ = 4 2 2

17. Simplify: 6 3 2 ÷ = 9 3 3