Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 240. Their H.C.F. is:
40
30
20
10
Explanation:
Let the numbers be $2x$, $3x$ and $4x$
LCM of $2x$, $3x$ and $4x$ = $12x$
12x=240
$\Rightarrow x=\dfrac{240}{12}=20$
H.C.F of $2x$, $3x$ and $4x$ $=x=20$