Question

অন্নদাশঙ্করের গদ্য প্রতিভার বৈশিষ্ট্য বা উপাদান​

Answer 1

Answer:

I too was struggling with this problem and arrived at a general solution for finding a pair of numbers given the HCF and the LCM. It is essentially the reverse of finding the LCM of two numbers by the use of a prime factor tree. Consider the following example:

The LCM of two numbers ( A & B) is 120 and the HCF is 4.

Step 1: find the prime factors of the LCM

i.e PF of LCM are 2 2 2 3 5

However note that the HCF of the numbers A & B is 4 and so we could re-write the PF of the LCM as 2 4 3 5

We now proceed as if we were finding the LCM of the two numbers but in reverse to produce several possible values of A & B (note the factor 4 appears in both columns as it is (highest) common factor.