Question

Find the HCf of 144 and 252 in division method

Answer 1

$\huge \bf \mathbb \ {Answer}$

$\bf \: HCF \: of \: 144 \: and \: \: 252$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{array}{r | l}2 &144\: \: \\2&72 \: \: \\ 2& 36 \: \: \\ 2& \: 18\: \: \\ 3& \: 9\: \: \\3& \: 3 \: \: \: \\&1 \end{array}\end{gathered}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{array}{r | l}2 &252\: \: \\3&126\: \: \\ 3& 42\: \: \\ 2& \: 14\: \: \\ 7& \: 7\: \: \\\: \: \: \: &1 \end{array}\end{gathered}\end{gathered}\end{gathered}$

$\bf \: The \: prime \: factors \: are :-$

$\bf \: 144 = 2×2×2×2×3×3$

$\bf \: 252= 2×3×3×2×7$

$\bf \: The \: HCF \: of \: 144 \: and \: 252 \: is$

$\bf \: 144 \: \: \: \: and \: 252 \: \: = \: \: \: 2 \times 3 \times 3$

$\bf \qquad \qquad \qquad \: \: \: \qquad\bf \leadsto \:{18} \: \: \underline {Ans }</p><p>$

Answer 2

Answer:

36 is the correct answer..