Question

Two positive numbers have their HCF as 12 and their

product as 6336. The number of pairs possible for the

numbers, is​

Answer 1

Step-by-step explanation:

We know that,

Product of the two numbers = product of there HCF and LCM.

Let the numbers be 12x and 12 y where x and y are co-primes

so, product of two numbers = 144xy = 6336

xy = 6336/144 = 44

44 can be written as the product of two numbers in three ways,

44 can be written as the product of two numbers in three ways,(1,44), (2,22) and (4,11)