Question

Write the Rules to find HCF.

Answer 1

There are two methods to find HCF :

• A. Division method
• B. Factor Method.

Find HCF by Division method :

Example 1. Find HCF of 24 and 36.

Soln. : 24) 36

$\text { 12) } \begin{aligned}\frac{-24}{24} \\\frac{-24}{\times}\end{aligned}$

$\therefore \mathrm{HCF}=12$, Ans.

Find HCF by factor method :

Example : Find HCF of 8 and 36.

Soln. : Factors of $8=2 \times 2 \times 2$

Factors of $36=2 \times 2 \times 3 \times 3$

$\Rightarrow$ Common factors of 8 and $36=2 \times 2$

$\therefore \mathrm{HCF}=4$, Ans.