Question

question number is HCF of 192 1100 4444​

Answer 1

$\huge\mathrm\red{Answer}$

$~~~~~~~~~~\sf\red{ HCF \:of \:192}$

[tex]\begin{array}{r | l}2 & 192 \\ \cline{2-2} 2 & 96 \\ \cline{2-2} 2 & 48 \\ \cline{2-2} 2 & 24 \\ \cline{2-2} 2 & 12 \\ \cline{2-2} 2 & 6 \\ \cline{2-2} 3 & 3 \\ \cline{2-2} & 1 \end{array} [/tex]

$\sf\red{ 2 × 2 × 2 × 2 × 2 × 2 × 3 × 1 }$

$\sf\red{:⟹ 2^{6} × 3 }$

$~~~~~~~~~~\sf\orange{ HCF \:of \:1100}$

$\begin{array}{r | l} 2 & 1100 \\ \cline{2-2} 2 & 550 \\ \cline{2-2} 5 & 125 \\ \cline{2-2} 5 & 25 \\ \cline{2-2} 5 & 5 \\ \cline{2-2} & 1 \end{array}$

$\sf\orange{ 2 × 2 × 5 × 5 × 5 × 1 }$

$\sf\orange{:⟹ 2^{2} × 5^{3} }$

$~~~~~~~~~~\sf\green{ HCF \:of \:4444}$

$\begin{array}{r | l}2 & 4444 \\ \cline{2-2}2 & 2222 \\ \cline{2-2}11 & 1111 \\ \cline{2-2}101 & 101 \\ \cline{2-2} & 1 \end{array}$

$\sf\green{ 2 × 2 × 11 × 101 × 1}$

$\sf\green{:⟹ 2^{2} × 11 × 101 }$

$\sf{192 = 2^{6} × 3}$

$\sf{1100 = 2^{2} × 5^{3}}$

$\sf{4444 = 2^{2} × 11 × 101}$

Answer 2

$\huge\mathrm\red{Answer}$

$~~~~~~~~~~\sf\red{ HCF \:of \:192}$

$\begin{array}{r | l}2 & 192 \\</p><p> \cline{2-2} 2 & 96 \\</p><p> \cline{2-2} 2 & 48 \\</p><p> \cline{2-2} 2 & 24 \\</p><p> \cline{2-2} 2 & 12 \\</p><p> \cline{2-2} 2 & 6 \\</p><p> \cline{2-2} 3 & 3 \\ \cline{2-2} & 1 \end{array}</p><p>$

$\sf\red{ 2 × 2 × 2 × 2 × 2 × 2 × 3 × 1 }$

$\sf\red{:⟹ 2^{6} × 3 }$

$~~~~~~~~~~\sf\orange{ HCF \:of \:1100}$

$\begin{array}{r | l} 2 & 1100 \\ \cline{2-2} 2 & 550 \\ \cline{2-2} 5 & 125 \\ \cline{2-2} 5 & 25 \\ \cline{2-2} 5 & 5 \\ \cline{2-2} & 1 \end{array}$

$\sf\orange{ 2 × 2 × 5 × 5 × 5 × 1 }$

$\sf\orange{:⟹ 2^{2} × 5^{3} }$

$~~~~~~~~~~\sf\green{ HCF \:of \:4444}$

$\begin{array}{r | l}2 & 4444 \\ \cline{2-2}2 & 2222 \\ \cline{2-2}11 & 1111 \\ \cline{2-2}101 & 101 \\ \cline{2-2} & 1 \end{array}$

$\sf\green{ 2 × 2 × 11 × 101 × 1}$

$\sf\green{:⟹ 2^{2} × 11 × 101 }$

$\sf{192 = 2^{6} × 3}$

$\sf{1100 = 2^{2} × 5^{3}}$

$\sf{4444 = 2^{2} × 11 × 101}$