Question

Determine the HCF of following pairs by finding factors:

(a) $5$ and $10$

Answer 1

Step 1: Find the factors of $5$ and $10$.

$1\times 5=5$

As $5$ is divisible by $1$and $5$.

So the factors of $5$ are: $1$and $5$.

$$\begin{gathered} 1\times 10=10 \\ 2\times 5=10 \end{gathered}$$

As $10$ is divisible by $1,2,5$ and $10$.

So the factors of $10$ are: $1,2,5$and $10$.

Step 2: Find the HCF of $5$ and $10$.

Factors of $5$ are: $\overline{)1},\overline{)5}$

Factors of $10$ are: $\overline{)1},2,\overline{)5},10$

Common factors of $5$ and $10$ are $\overline{)1}$ and .$\overline{)5}$

Hence, the HCF of $5$ and $10$ is $5$.