# Find the largest number that will divide 398,436and542 leaving remainders 7,11and15

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Let that number be X. Let n1 , n2 , n3 be some +ve numbers

398 = X * n1 + 7 => 391 = X * n1 => X * n1 = 17 * 23

436 = X * n2 + 11 => 425 = X * n2 => X * n1 = 17 * 25

542 = X * n3 + 15 527 = X * n3 X * n3 = 17 * 31

**X = 17**

398 = X * n1 + 7 => 391 = X * n1 => X * n1 = 17 * 23

436 = X * n2 + 11 => 425 = X * n2 => X * n1 = 17 * 25

542 = X * n3 + 15 527 = X * n3 X * n3 = 17 * 31