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Answers for “为什么在欧几里得算法中,公因数也能整除差?”

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To perform each step, you keep the smaller number and subtract it from the larger number. You then replace the larger number with the resulting difference and repeat the process until the desired stopping value is reached.

Conditions: The video explicitly applies this to the pair 12 and 8.; It assumes one chooses the larger and smaller number at each step.