find the greatest common factor (gcf) of 12 and 8. 12 × × × step 1: make a “ t-chart ” for...
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Find the Greatest Common Factor (GCF) of 12 and 8.
12×××
Step 1: Make a “T-Chart” for both numbers.
Step 2: Look for common factors between both numbers.
Step 3: Circle the greatest factor that both numbers have in common.
Step 4: This is the GCF.
1 122 63 4
8××
1 82 4
The GCF of 12 and 8 is 4
8
Find the Greatest Common Factor (GCF) of 16 and 24.
16×××
Step 1: Make a “T-Chart” for both numbers.
Step 2: Look for common factors between both numbers.
Step 3: Circle the greatest factor that both numbers have in common.
Step 4: This is the GCF.
1 162 84 4
24××
1 242 12
The GCF of 16 and 24 is 8
×3×4 6
66
16
Find the Greatest Common Factor (GCF) of 30 and 48.
30×××
Step 1: Make a “T-Chart” for both numbers.
Step 2: Look for common factors between both numbers.
Step 3: Circle the greatest factor that both numbers have in common.
Step 4: This is the GCF.
1 302 153 10
48××
1 482 24
The GCF of 30 and 48 is 6
×3×4 12×5× 8
810
Find the Greatest Common Factor (GCF) of 32 and 40.
32×××
Step 1: Make a “T-Chart” for both numbers.
Step 2: Look for common factors between both numbers.
Step 3: Circle the greatest factor that both numbers have in common.
Step 4: This is the GCF.
1 322 164 8
40××
1 402 20
The GCF of 32 and 40 is 8
×4×5
18
912
Find the Greatest Common Factor (GCF) of 18, 36, and
45.18×××
Step 1: Make a “T-Chart” for all 3 numbers.
Step 2: Look for common factors between all 3 numbers.
Step 3: Circle the greatest factor that all 3 numbers have in common.
Step 4: This is the GCF.
12 93 6
36××
1 362 18
The GCF of 18, 36, and 45 is 9
×3×4
9
45××
1 453 15×5
6×6
4
You can find the Greatest Common Factor of a fraction’s numerator and
denominator ,too.
9××
Step 1: Make a “T-Chart” for numerator and the denominator.
Step 2: Look for common factors between both numbers.
Step 3: Circle the greatest factor that both numbers have in common.
Step 4: This is the GCF.
1 93 3
12××
1 122 6×3
What is the GCF of ?912
The GCF of is 3.912
You can find the Greatest Common Factor of a fraction’s numerator and
denominator ,too.
Step 1: Make a “T-Chart” for numerator and the denominator.
Step 2: Look for common factors between both numbers.
Step 3: Circle the greatest factor that both numbers have in common.
Step 4: This is the GCF.
What is the GCF of ?2530
The GCF of is 5.2530
610
25××
1 255 5
30××
1 302 15×3×5
You can find the Greatest Common Factor of a fraction’s numerator and
denominator ,too.
Step 1: Make a “T-Chart” for numerator and the denominator.
Step 2: Look for common factors between both numbers.
Step 3: Circle the greatest factor that both numbers have in common.
Step 4: This is the GCF.
What is the GCF of ?2432
The GCF of is 8.2432
8
24×××
1 242 123 8
36××
1 322 16×4
×4 6
Use “T-Charts” to find the GCF.
4
12××
1 122 6×3
1. 12 and 30
10
30××
1 302 15×3×5 6
15××
1 153 5
2. 15 and 45
9
45××
1 453 15×5
GCF: 6 GCF: 15
Use “T-Charts” to find the GCF.
6
18××
1 182 9×3 12
36××
1 362 18×3×4 9
21××
1 213 7
4.
35××
1 355 7
GCF: 18 GCF: 7
18363
.
×6 6
2135
Use “T-Charts” to find the GCF.
27××
1 273 9
5. 27 and 30
10
30××
1 302 15×3 8
24××
1 242 12×3×4 6
6. 24 and 36
6
12
36××
1 362 18×3×4 9× 6
GCF: 3 GCF: 6
Use “T-Charts” to find the GCF.
7. 12, 15, and 21
21××
1 213 7
GCF: 3
15××
1 153 5
4
12××
1 122 6×3