Algebra Examples

Find the GCF 15 45
15 45
Step 1
Find the common factors for the numerical part:
15,45
Step 2
The factors for 15 are 1,3,5,15.
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Step 2.1
The factors for 15 are all numbers between 1 and 15, which divide 15 evenly.
Check numbers between 1 and 15
Step 2.2
Find the factor pairs of 15 where xy=15.
xy11535
Step 2.3
List the factors for 15.
1,3,5,15
1,3,5,15
Step 3
The factors for 45 are 1,3,5,9,15,45.
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Step 3.1
The factors for 45 are all numbers between 1 and 45, which divide 45 evenly.
Check numbers between 1 and 45
Step 3.2
Find the factor pairs of 45 where xy=45.
xy14531559
Step 3.3
List the factors for 45.
1,3,5,9,15,45
1,3,5,9,15,45
Step 4
List all the factors for 15,45 to find the common factors.
15: 1,3,5,15
45: 1,3,5,9,15,45
Step 5
The common factors for 15,45 are 1,3,5,15.
1,3,5,15
Step 6
The GCF (HCF) of the numerical factors 1,3,5,15 is 15.
15
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