Let $m$ and $n$ be integers such that $\gcd (m, n) = 1$. Show that $\gcd (m + n, m - n) = 1$ or $2$

Question

Let m and n be integers such that $\gcd (m, n) = 1$. Show that $\gcd(m + n, m - n) = 1$ or $2$

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score 1 · Answer 1 · answered Mar 14 '21 at 15:19

1

Hint

If $d$ divides $a$ and $d$ divides $b$

then $d$ divides both $(a+b)$ and $(a - b).$

answered Mar 14 '21 at 15:19

user2661923

1 Answers1