Highest common factor

Find the largest positive integer X X such that 324, 366 and 513 give the same remainder when divided by X X .


The answer is 21.

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1 solution

Sarthak Rath
Apr 19, 2015

on substraction,

(513-355), (513-324) and (366-324),

the obtained numbers are: 147, 189 and 42

hence required no. is HCF(147, 189, 42) = 21

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