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Question

The greatest common divisor of 28, 70 and 126 is

A
28
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B
14
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C
7
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Solution

The correct option is B 14
Let's find the prime factors of 28, 70, 126 using ladder method


Prime factorization of the numbers 28, 70 and 126:
28 = 2 × 2 × 7
70 = 2 × 5 × 7
126 = 2 × 3 × 3 × 7

The greatest common divisor of these numbers is the product of their common prime factors, that is 2 × 7 =14.

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