EXPLANATION.
Product of two number is 3750.
Their L.C.M is 150.
As we know that,
H.C.F x L.C.M = Products of two numbers.
Using this formula in this question, we get.
H.C.F x 150 = 3750.
H.C.F = 25.
Their H.C.F is 25.
MORE INFORMATION.
Number of elements in different sets.
If A, B and C are finite sets and U be the finite sets, then.
(1) n(A ∪ B) = n(A) + n(B) - n(A ∩ B).
(2) n(A ∪ B) = n(A) + n(B) [if A and B are disjoint sets].
(3) n(A - B) = n(A) - n(A ∩ B).
(4) n(A Δ B) = n[(A - B) ∪ (B - A)] = n(A) + n(B) - 2n(A ∩ B).
(5) n(A ∪ B ∪ C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C) - n(A ∩ C) + n(A ∩ B ∩ C).
(6) n(A' ∪ B') = n(A ∩ B)' = n(U) - n(A ∩ B).
(7) n(A' ∩ B') = n(A ∪ B)' = n(U) - n(A ∪ B).