If two positive integers a and b are written as  a = x 3 y2 and b = xy 3 ; x, y are prime numbers, then  HCF (a, b) is:

(a)xy                         (b) xy 2

(c) x 3 y 3                    (d) x2 y 2

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  1. Chapter 1 Class 10 Real Numbers (Term 1)
  2. Serial order wise

Transcript

Question 8 If two positive integers a and b are written as a = x3 y2 and b = xy3; x, y are prime numbers, then HCF (a, b) is: xy (b) xy2 (c) x3 y3 (d) x2 y2 Since a = x3 y2 = x . x . x . y . y b = xy3 = x . y . y . y Thus, HCF = x . y . y = xy2 So, correct answer is (B)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.