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Answers for “当欧几里得算法给出最大公约数为 1 时意味着什么?”

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When the Euclidean algorithm yields a greatest common divisor of 1, it means the two input numbers are relatively prime (or coprime). This indicates that they share no common positive integer divisors other than 1.

Conditions: The inputs are natural numbers.; The Euclidean algorithm terminates with a last nonzero remainder of 1.