For any integers lsquo a rsquo and lsquo b rsquo with HCF a b 1 what is HCF a b a ndash b equal to ........

Quantitative Aptitude (CDS) LCM, HCF

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For any integers ‘a’ and ‘b’ with HCF (a, b) = 1, what is HCF (a + b, a – b) equal to?

It is always 1

It is always 2

Either 1 or 2

None of these

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Explanation:

Given that HCF (a,b) = 1 means that ?? and ?? are
coprime numbers.
So, HCF (a+b, a-b)
Let a = 4, b = 3
HCF (4, 3) = 1
Now, HCF (3 + 4, 4 – 3)= HCF (7, 1) HCF is equal = 1
Let a = 23 and b = 17
HCF (23, 17) = 1
HCF (23 + 17, 23 – 17) = HCF (40, 6) = 2
So, HCF (a + b, a – b) = either 1 or 2