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Calculate the Greatest Common Factor or GCF of 7, 11, 63 and 114

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The instructions to find the GCF of 7, 11, 63 and 114 are the next:

1. Decompose all numbers into prime factors

77
1
1111
1
633
213
77
1
1142
573
1919
1

2. Write all numbers as the product of its prime factors

Prime factors of 7=7
Prime factors of 11=11
Prime factors of 63=32 . 7
Prime factors of 114=2 . 3 . 19

3. Choose the common prime factors with the lowest exponent

Common prime factors: None

Common prime factors with the lowest exponent: None

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

Since there are not common prime factors the GCF is 1


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