Question
Find the greatest number that divides 130, 190 and 250
leaving the same remainder in each case.Solution
ATQ, If a number leaves the same remainder when dividing several numbers, then that number divides the differences of those numbers. Differences: 190 − 130 = 60 250 − 190 = 60 250 − 130 = 120 So required divisor = HCF of 60, 60, 120 = 60
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