Question
Find the greatest number that will divide 49, 147 and
322 to leave the same remainder in each case.Solution
According to the question, The differences will be, β 147 - 49 = 98 β 322 - 147 = 175 β 322 - 49 = 273 The set of numbers {98,175,273} Now HCF of {98,175,273} β 98 = 7 Γ 7 Γ 2 β 175 = 5 Γ 5 Γ 7 β 273 = 13 Γ 7 Γ 3 The HCF of {98,175,273} is 7
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