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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Last updated at April 16, 2024 by Teachoo
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)