Question

Use a method of your own choice to find the H.C.F. of 45, 75 and 135.

Answer 1

Factor of 45 = F₄₅ = 3 x 3 x 5
Factor of 75 = F₇₅ = 3 x 5 x 5
and Factor of 135 = F₁₃₅ = 3 x 3 x 3 x 5
Now the common factors of 45, 75 and 135 = 3 and 5
H.C.F. = 3 x 5 = 15