It is known that the H. C. F. of a given number and 63 is 9. Find two possible values of the given number. (with steps if available)

It is known that the L. C. M. of a given number and 48is 144. Find two possible values of the given number. (with steps if available)

Part A:

The HCF is an acronym for Highest Common Factor. An unknown number and 63 have an HCF equal to 9. The factors of 63 are 9 and 7. There are lots of numbers to which the HCF with 63 is 9. These should be divisible by 9 but not by 7. That being said, the answers could be 9, 18, 27, etc.

Part B:

LCM is the acronym for least common multiple. Given that the LCM of a number and 48 is 144, the other number could be determined by dividing 144 by 48. If we let x be the number,

x = 144/48

x = 3