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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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 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.