Question
The product of two numbers is 504 and their HCF is 6.
Total number of such pairs of numbers is?Solution
As HCF is 6 so let numbers be 6x & 6y. It means x & y must be co-prime. Now 6x × 6y = 504, So xy = 14. Now pairs of (x, y) can be (1,14) & (2, 7). Here (1,14) & (2, 7) are co-prime so number of pairs are 2.
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