Question

Find the HCF of the following by prime factorization method:

$51,121,413$

Answer 1

Prime factorization of $51,121$ and $413$ by division method is shown as:

Prime factor of $51=3\times 17$

Prime factor of $121=11\times 11$

Prime factor of $413=7\times 59$

There is no common prime factors of $51,121$ and $413$.

If there is no common prime factor , $1$ is always a common factor.

Therefore, H.C.F of $51,121$ and $413$ is $1$.

Hence, HCF of $51,121$ and $413$ by prime factorization method is $1$.