Ononot — Let a and b be positive integers such that \text{gcd}(a, b)

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GCD & LCMmedium

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Let $a$ and $b$ be positive integers such that $\text{gcd}(a, b) = 1$ . Which of the following must be true regarding $\text{gcd}(a+b, a^2-ab+b^2)$ ?