Question

HCF prime factorization method of 176,260 and 612...


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Answer 1

$\begin{gathered} \begin{array}{c |l} 2&176 \\ \hline2&88 \\ \hline2&22 \\ \hline11&11 \\ \hline &1 \end{array}\end{gathered}$

So, Prime Factorization of 176- 2×2×2×11

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$\begin{gathered} \begin{array}{ c| l}2&260 \\ \hline2&130 \\ \hline5 &65 \\ \hline 13&13 \\ \hline &1 \end{array}\end{gathered}$

Prime Factorization of 260 - 2×2×5×13

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$\begin{gathered} \begin{array}{c |l}2&612 \\ \hline 2&306 \\ \hline3&153 \\ \hline3&51 \\ \hline17&17 \\ \hline &1 \end{array}\end{gathered}$

Prime Factorization of 612 = 2×2×3×3×7

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Prime Factorization of 176- 2×2×2×11

Prime Factorization of 260 - 2×2×5×13

Prime Factorization of 612 = 2×2×3×3×7

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In the three one 2 × 2 is common in all, So

$\sf \pink{HCF = 2×2=4}$

Answer 2

Hey mate!! Kindly refer to this attachment :P