H.C.F. of larger numbers

If two numbers and their L.C.M. is given, then how would we find H.C.F. of the numbers?

The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is (a) 101 (b) 107 (c) 111 (d) 185

(i) The H.C.F.of given numbers is not greater than any of the numbers.

The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 17. Find the larger of the two numbers.

H.C.F. xx L.C.M. = Product of two numbers. The H.C.F. of two numbers is 16 and their product is 3072. Find their L.C.M.

H.C.F. of two numbers is 10 and their L.C.M is 210, then the product of the two numbers is: