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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MCQs from NCERT Exemplar
Last updated at Dec. 4, 2021 by Teachoo
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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)