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Fractions
Greatest Common Factor & Simplest Form <--- To Teacher Page
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 12 - 1, 2, 3,
4
, 6, 12 The GCF is
4 ---------- Step 2:
Divide the numerator & denominator by the GCF.
8 ÷ 4
The GCF of 2 & 3 is 1.
12 ÷ 4 = 2 3
Put these steps in your journal.
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!!!
12 15 16 32 30 40 18 45 Do this in your journal --->
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 GCF: 16 GCF: 10 GCF: 9 Place these in your journal. Go to step 2------------------->
Divide the numerator & denominator by the GCF.
12 ÷ 3 = 4 15 ÷ 3 = 5 16 ÷ 16 = 1 32 ÷ 16 = 2 30 ÷ 10 = 3 40 ÷ 10 = 4 18 ÷ 9 = 2 45 ÷ 9 = 5 Simplest Form Simplest Form Simplest Form Simplest Form
Is this what you got? Check your answers. ------->
4 5 1 2 2 5 3 4
Check Your Answers
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12 = 4 15 = 5 16 = 1 32 = 2 30 = 3 40 = 4 18 = 2 45 = 5