Question

Find the H.C.F. of $16,48$ and $144$ by using prime factorisation method.

Answer 1

Prime factorisation of $16,48$ and $144$ .

Prime factorisation of $16=2\times 2\times 2\times 2$

Prime factorisation of $48=2\times 2\times 2\times 2\times 3$

Prime factorisation of $144=2\times 2\times 2\times 2\times 3\times 3$

Finding the H.C.F. of $16,48$ and $144$

To find the H.C. F . of given numbers, we have to take the common multiple of given numbers.

H.C.F. of $16,48$ and $144$ $=2\times 2\times 2\times 2=16$.

Hence, the H.C.F. of $16,48$ and $144$ is $16$.