Question

Find the H.C.F of $106,159$ and $265$ using division method.

Answer 1

In Long Division Method, the divisor for which the Remainder is equal to $0$ is considered as the H.C.F

Firstly we will find the H.C.F of $106$ and $159$ using the division method.

Since for the divisor $53$ the remainder is $0$

Hence, the H.C.F of $106$ and $159$ is $53$.

Again, using the H.C.F of $106$ and $159$ i.e., $53$ and the remaining value i.e., $265$ we will find the H.C.F

Finding the H.C.F of $53$ and $265$ using division method.

Since for the divisor $53$ the remainder is $0$.

Hence, we can say that the H.C.F of $53$ and $265$ is $53$.

Therefore, the H.C.F of $106,159$ and $265$ is $53$.