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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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 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 and Computer Science at Teachoo