What is the H.C.F. of 6/15, 12/20, and 18/25?

Question: What is the H.C.F. of 6/15, 12/20, and 18/25?

Solution:
We know, H.C.F. of fractions = (H.C.F. of numerators)/(L.C.M. of denominators)

H.C.F. of numerators:
H.C.F.(6, 12, 18) = 6

L.C.M. of denominators:
15 = 3 × 5
20 = 2² × 5
25 = 5²

∴ L.C.M. = 2² × 3 × 5² = 4 × 3 × 25 = 300

∴ Required H.C.F. = 6/300 = 1/50