Question

: 336&54 find hcf ?​

Answer 1

Step-by-step explanation:

see answer in image

it is divisatation method

Answer 2

$\large{\underline{\bf{Answer-}}}$

$\large{\blue{\boxed{\rm{\pink{HCF\:=\:6}}}}}$

$\large{\underline{\bf{Solution-}}}$

★ Prime factorisation of 336 :

$\begin{array}{r|1}2&336\\ \cline{2-2}2&168\\ \cline{2-2}2&84\\ \cline{2-2}2&42\\ \cline{2-2}3&21\\ \cline{2-2}7&7\\ \cline{2-2}&1\end{array}$

Prime factors = 2 × 2 × 2 × 2 × 3 × 7

★ Prime factorisation of 54 :

$\begin{array}{r|1}2&54\\ \cline{2-2}3&27\\ \cline{2-2}3&9\\ \cline{2-2}3&3\\ \cline{2-2}&1\end{array}$

Prime factors = 2 × 3 × 3 × 3

________________________________

Highest common factor ( HCF ) = 2 × 3

$\large{\blue{\boxed{\rm{\pink{HCF\:=\:6}}}}}$