Question

Find the largest number that divides 283,390 and 532 leaving remainder 3,7 and 5

Answer 1

Since the divisor should leave 3, 7, 5 as remainders after dividing 283, 390 and 532.

So 280(283 - 3) , 383(390 - 7) and 527(532 - 5) should be divisible by this unknown number.

Let’s do prime factorization of 280, 383 and 527, to find the largest number

280 = 14×20

383 =

527 =

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