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Answers for “为什么 12 和 8 的例子以 4 结束?”

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Understand why

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The example ends with 4 because applying the subtraction rule repeatedly yields 4 as the final value. First, 12−8=412 - 8 = 4, creating the pair 8 and 4.

Conditions: Start with the pair 12 and 8.; Repeatedly subtract the smaller from the larger.

Find a method

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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.

Meet the concept

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In this video, the Euclidean algorithm is introduced as a method for finding the greatest common factor of two numbers. The presentation specifically demonstrates the subtraction version of the algorithm rather than the modulo version.

Conditions: Applies to two numbers in the worked example.; The video uses positive integer examples.