Question

two positive numbers have their HCF=12 and their product is 6336. the number of pairs possible for the numbers is​

Answer 1

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

Product of the numbers = 144xy

144

x

y

=

6336

x

y

=

44

44 can be written as the product of two factors in three ways, i.e.,

1

×

44

,

2

×

22

,

4

×

11

As x and y are relatively prime, (x,y) can be (1,44) or (4,11) but not (2,22).