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Question
If the HCF and LCM of two positive integers a and b are x and y respectively, then `(x^2y^2)/(a^2b^2)` = ______.
Fill in the Blanks
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Solution
If the HCF and LCM of two positive integers a and b are x and y respectively, then `(x^2y^2)/(a^2b^2)` = 1.
Explanation:
HCF × LCM = a × b, so xy = ab.
Therefore `(x^2y^2)/(a^2 b^2) = ((xy)/(ab))^2`
= 12
= 1
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