2014 · Q5
For any integers 'a' and 'b' with HCF (a, b) = 1, what is HCF (a + b, a - b) equal to?
Elementary MathematicsNumber System
- AIt is always 1
- BIt is always 2
- CEither 1 or 2
- DNone of the above
Explanation
If a, b are both odd, a+b and a-b are even (HCF 2); otherwise the HCF is 1.