Question

HCF and LCM of two numbers are 13 and 1989 respectively, if one number is 117 , determine the other.

Answer 1

Answer:

if 1989 is divided by each of the multiples of 13 individually, the resulting answers are not a multiple of 13. So, NO, there is such possibility of having two numbers which have 13 as their HCF and 1989 as LCM. The product of two numbers is 20,736 and their HCF is 108. ... The sum of HCF and LCM is 403.

Step-by-step explanation:

The factors of 1989 are - 1,3,9,13,17,39,51,117,153,221,663,1989,

Out of which, the multiples of 13 are - 13, 39, 117, 221, 663

if 1989 is divided by each of the multiples of 13 individually, the resulting answers are not a multiple of 13.

So, NO, there is such possibility of having two numbers which have 13 as their HCF and 1989 as LCM.

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