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Answers for “一旦新余数为 0,为什么选择较早的余数 5 作为答案?”

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To begin the Euclidean algorithm for gcd⁡(1701,3768)\gcd(1701, 3768), place the larger number (3768) on the left side of the division equation and the smaller number (1701) as the divisor. Write 3768=1701⋅q+r3768 = 1701 \cdot q + r.

Conditions: The inputs are positive integers.; The larger number is used first on the left-hand side.; The quotient is an integer and the remainder satisfies 0≤r<17010 \le r < 1701.