1. Greatest Common Factor & Simplest Form
Fractions
Greatest Common Factor & Simplest Form
By Rosi Barron

2. GCF (Greatest Common Factor) is the largest factor that can be divided into both the numerator & the denominator.
A fraction is in SIMPLEST FORM when the GCF of the numerator and denominator is the number 1.
Follow these steps:
Step 1: Find the GCF of 8 and 12.
Factors of 8 - 1, 2, 4, 8
Factors of , 2, 3, 4, 6, 12
The GCF is
Step 2: Divide the numerator & denominator by the GCF.
8 ÷
12 ÷
The GCF of 2 & 3 is 1. =

3. Use the 2-step process & don’t forget to think!!!
Find the GCF for each of these fractions and then express them in SIMPLEST FORM.
Use the 2-step process & don’t forget to think!!!
Do this in your journal --->

4. STEP 1 Find the Greatest Common Factor. 12: 1, 2, 3, 4, 6, 12
15: 1, 3, 5, 15
16: 1, 2, 4, 8, 16
32: 1, 2, 4, 8, 16, 32
30: 1, 2, 3, 5, 6, 10, 15, 30
40: 1, 2, 4, 5, 8, 10, 20, 40
18: 1, 2, 3, 6, 9, 18
45: 1, 3, 5, 9, 15, 45
GCF: 3
STEP 1
GCF: 16
GCF: 10
GCF: 9
Place these in your journal Go to step >

5. STEP 2 Divide the numerator & denominator by the GCF. 12 ÷ 3 = 4 4
12 ÷ 3 =
15 ÷ 3 =
16 ÷ 16 =
32 ÷ 16 =
30 ÷ 10 =
40 ÷ 10 =
18 ÷ 9 =
45 ÷ 9 =
Simplest Form
STEP 2
Simplest Form
Simplest Form
Simplest Form
Is this what you got? Check your answers >

6. Simply Fantastic!! FINAL ANSWER Check Your Answers 12 = 4 15 = 5
12 = = 5
16 = = 2
30 = = 4
18 = = 5
Check
Your
Answers
FINAL
ANSWER
Simply Fantastic!!