The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:

Question: The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:

Solution:
We know that,

L.C.M × H.C.F. = Product of two numbers

⇒ 7700 × 11 = 275 × other number

⇒ Other number = (7700 × 11) ÷ 275

∴ Other number = 308