Question
Find the greatest number that divides 96 and 164 leaving remainder 4 in each case.
Solution
ATQ, If same remainder 4, then divisor divides (96-4) and (164-4). 96-4 = 92 164-4 = 160 Required number = HCF(92, 160) 92 = 423 160 = 440 HCF = 4
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