Question

find HCF of 36 and 54​

Answer 1

HCF is the Highest Common Factor which is also known as GCD Greatest Common Factor.

As its name suggests that it is related to division, HCF is the greatest number which can divide a number.

Answer :-

$\textbf{\large{HCF=18}}$

Explaination :-

★ Steps to Find HCF :-

i.⟩ Find the Prime Factors of the numbers :

$\textbf{36}$


$\begin{array}{r|l}2 & 36\\\cline{1-2} 2 & 18 \\\cline{1-2} 3 & 9 \\ \cline{1-2} 3 & 3\\\cline{1-2} & 1\end{array}$


$\textbf{54}$


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

ii.⟩ The product of the Common Factors gives the HCF

Seperate the Common Factors :

→ 36 = ${\bold{\red{2}}}$× 2 × ${\bold{\red{3}}}$ × ${\bold{\red{3}}}$

→ 54 = ${\bold{\red{2}}}$ × ${\bold{\red{3}}}$× ${\bold{\red{3}}}$ × 3

★ HCF = 2 × 3 × 3

=> 6 × 3

=> 18

$\large{\green{\boxed{\green{\boxed{\red{\textsf{HCF = 18 }}}}}}}$

$\therefore$The HCF of 36 and 54​ is 18

Answer 2

Answer:

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Step-by-step explanation:

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