Question

4. Find the largest number that will divide 398, 436 and 542 leaving
remainders 7, 11, and 15 respectively.

Answer 1

Answer:

We have , → The number 398, 436 and 542 which when divides by a positive integers leaves remainder as 7, 11, and 15 respectively . → Clearly, the required number divides ( 398 - 7 ) = 391 , ( 436 - 11 ) = 425, and ( 542 - 15 ) = 527 exactly