SIMPLE DIVISION

Sometimes a very simple question in elementary arithmetic will cause a good deal of perplexity. For example, I want to divide the four numbers, `701, 1,059, 1,417`, and `2,312`, by the largest number possible that will leave the same remainder in every case. How am I to set to work Of course, by a laborious system of trial one can in time discover the answer, but there is quite a simple method of doing it if you can only find it.

主题:
算术 数论 -> 最大公约数(GCD)和最小公倍数(LCM) -> 欧几里得算法 数论 -> 除法
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