If the HCF of m and n is 1, then what are the HCF of m +

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If the HCF of m and n is 1, then what are the HCF of m + n, m and HCF of m - n, n, respectively (where, m > n)?

1. 2 and 1
2. 1 and 1
3. 1 and 2
4. Cannot be determined

Correct Option: B

The HCF of m and n is 1, so m and n are prime number.
Let m = 7 and n = 5 ⇒ m + n = 12
HCF of(m + n)and m = HCF of 12 and 7 = 1
Similarly, HCF of (m - n) and n = 1