Math, asked by ankitkumar4107, 8 months ago

H.c.f of 36,48,96 by prime factor method

Answers

Answered by Anonymous
6

Answer:

HCF of 36,48,96 is 12

Explanation:

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

Factors of 36 =>2×2×3×3

\begin{array}{r | l} 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 & 1 \end{array}

Factors of 48 =>2×2×2×2×3

\begin{array}{r | l} 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& 1 \end{array}

Factors of 96 =>2×2×2×2×2×3

Therefore,

36 =>2×2×3×3

48 =>2×2×2×2×3

96 =>2×2×2×2×2×3

∴ HCF will be 2×2×3=>12

Answered by prachi12338
4

Answer:

hope it's help u.......

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