Question

If L.C.M. (150, 100) = 300, then find H.C.F. (150, 100).

• A. 25
• B. 50
• C. 45
• D. 75

Answer 1

The correct option is B

50

Given: L.C.M. (100,150) = 300
We know that product of two numbers is equal to the product of their HCF and LCM.
$\Rightarrow$ Product of numbers 100 and 150 = HCF $\times$ LCM
$\Rightarrow$ $100\times 150$ = HCF $\times$ 300
$\Rightarrow$ HCF = $\frac{100\times 150}{300}$
$\Rightarrow$ HCF = $\frac{15000}{300}$
$\Rightarrow$ HCF = 50

$\therefore$ HCF of 100 and 150 is 50.