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The H.C.F of 85 and 238 is expressible in the form 85m -238 [Video] - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard

part 2 - Question 21 (B) - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

 

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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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