Question

The hcf and lcm of two numbers are 12 and 924 respectively. Then the number of such pairs is

Answer 1

The possible number of pairs can be obtained by counting the distinct prime factors obtained from calculating LCM/HCF.

So, in our case,

LCM/HCF = 924/12 = 77
Prime factors of 77 = 11 x 7

Since there are two prime factors (11 and 7), therefore there will be two such pairs.

First Pair : (12 * 11, 12 * 7) = (132, 84)
Second pair : (12, 924)

Answer 2

Answer:

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