Find the GCF 21 , 35 , 42

Math
21 , 35 , 42
Find the common factors for the numerical part:
21,35,42
The factors for 21 are 1,3,7,21.
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The factors for 21 are all numbers between 1 and 21, which divide 21 evenly.
Check numbers between 1 and 21
Find the factor pairs of 21 where x⋅y=21.
xy12137
List the factors for 21.
1,3,7,21
1,3,7,21
The factors for 35 are 1,5,7,35.
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The factors for 35 are all numbers between 1 and 35, which divide 35 evenly.
Check numbers between 1 and 35
Find the factor pairs of 35 where x⋅y=35.
xy13557
List the factors for 35.
1,5,7,35
1,5,7,35
The factors for 42 are 1,2,3,6,7,14,21,42.
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The factors for 42 are all numbers between 1 and 42, which divide 42 evenly.
Check numbers between 1 and 42
Find the factor pairs of 42 where x⋅y=42.
xy14222131467
List the factors for 42.
1,2,3,6,7,14,21,42
1,2,3,6,7,14,21,42
List all the factors for 21,35,42 to find the common factors.
21: 1,3,7,21
35: 1,5,7,35
42: 1,2,3,6,7,14,21,42
The common factors for 21,35,42 are 1,7.
1,7
The GCF (HCF) of the numerical factors 1,7 is 7.
7
Find the GCF 21 , 35 , 42

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