Let m and n be integers such that $\gcd (m, n) = 1$. Show that $\gcd(m + n, m - n) = 1$ or $2$
2026-04-08 07:31:48.1775633508
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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Hint
If $d$ divides $a$ and $d$ divides $b$
then $d$ divides both $(a+b)$ and $(a - b).$