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Question
The greatest common divisor of 28, 70 and 126 is
The greatest common divisor of 28, 70 and 126 is
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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.
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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