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Question 21 (B) The H.C.F of 85 and 238 is expressible in the form 85m − 238. Find the value of m.To find HCF of 85 and 238, We do prime factorization of both 85 = 5 × 17 238 = 2 × 7 × 17 ∴ HCF = 17 Writing HCF in terms of 85m − 238 HCF = 85m − 238 17 = 85m − 238 17 + 238 = 85m 255 = 85m 85m = 255 m = 255/85 m = 3

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.