Section (A1. If the HCF of 85 and 153 is expressible in the form of 85 – InterviewSolution

1.	Section (A1. If the HCF of 85 and 153 is expressible in the form of 85m -153, then find the valueof m.
Answer» Solution:-To find the HCF of 85 and 153, we shall find it by Euclid's Division Lemma.Therefore,153 = 851 + 6885 = 681 + 17Since the remainder is not equal to zero, we shall again apply Euclid's division lemma.68 = 17*4Now the remainder is zero, thus the HCF of 85 and 153 is 17.17 = 85m - 153Therefore, 85m = 153 + 1785m = 170m = 170/85m =2 Answer.

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