Question

define H.C.F or G.C.D

find H.C.f of 72 and 108
in different methods

Answer 1

The large positive integer which divides two or more integers without any remainder is called Highest common factor (H.C.F) or Greatest cCommon Division or Greatest Common Factor(G.C.F)
H.C.F
by prime factorice
108=2×2×3×3×3
72=2×2×2×3×3
now,
=2×2×3×3
=36
answer is 36

Answer 2

H.C.F => Highest common factor

H.C.F is the numbers which divides exactly into two or more than 2 numbers.

We can find the H.C.F of 72 and 108 in 2 ways "
1) Euclid's division algorithm

108 = 72 x 1 + 36
72 = 36 x 2 + 0

H.C.F = 36

2) By prime factorization :-
108 = 2×2×3×3×3
72 = 2×2×2×3×3

H.C.F = 2 × 2 × 3 ×3 = 36