If a pair of numbers is completely divisible by 2, then 2 is necessarily the HCF of the pair.

True

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False

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Solution

The correct option is B False
Consider 4 and 16.

4 = 1 × 4
= 2 × 2
Factors: 1, 2 and 4

16 = 1 × 16
= 2 × 8
= 4 × 4
Factors: 1, 2, 4, 8 and 16

2 is one of the common factors, but the greatest common factor is 4.

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