The H.C.F and L.C.M of two numbersare 8 and 504 respectively. One of the numbers is 72.determine the other number
Area = H.C.F (a,b) x L.C.M (a,b)=ab
8 x 504 =ab
4032 =ab
4032 = 72 b
b =40732/72=56
Double check:
H.C.F (56,72) = 8
L.C.M (56 ,72) = 504
8x504=56x72=4032
so, the other number is 56.
72 = 8*9
504 = 7*8*9
Does that help?