The H.C.F. of two numbers is 11 and their L.C.M. is 5566. If one of the numbers is 253, then the other is:

Question: The H.C.F. of two numbers is 11 and their L.C.M. is 5566. If one of the numbers is 253, then the other is:

Solution:
We know that,
L.C.M × H.C.F. = Product of two numbers
⇒ 5566 × 11 = 253 × other number
⇒ Other number = (5566 × 11) ÷ 253
∴ Other number = 242