The same as with two. You can compare their factors...
The factors of 30 are:
1, 2, 3, 5, 6, 10, 15, 30
The factors of 42 are:
1, 2, 3, 6, 7, 14, 21, 42
The factors of 60 are:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The common factors are:
1, 2, 3, 6
The Greatest Common Factor:
GCF = 6
or their prime factorizations.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
2 x 2 x 3 x 5 = 60
2 x 3 = 6, the GCF
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The greatest common factor is used to reduce fractions.
divisor
To reduce fractions
Get the greatest common factor first. For example, you might use Euclid's Algorithm - the first step is that the greatest common factor of 5030 and 100 is the same as the greatest common factor of 100 and 30 (where 30 is the remainder of the division of 5030 / 100). Once you get the greatest common factor, the common factors of the two numbers are simply all the factors of this greatest common factor.
When you need to reduce fractions.