Question

The least number which is divisible by 96 and 430 is excatly 20640. Find the greatest number which can divide 96 and 430 exactly.

• A. 4
• B. 5
• C. 2
• D. 3

Answer 1

The correct option is C 2

We know that,
Product of two number = H.C.F. $\times$ L.C.M.
Here two numbers are given i.e. 96 and 430. Also L.C.M. = 20640.
Now according to the question:
H.C.F. $\times$ 20640 = 96 $\times$ 430
H.C.F. = $\frac{96\times 430}{20640}$
H.C.F. = 2.