Question

Hcf and lcm of306 ,657

Answer 1

306 = 2 x 3 x 3 x 17 
657 = 3 x 3 x 73 
H C F :- 3 x 3 = 9
L C M:- 306*657/9 = 22338

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Answer 2

L.C.M ↓↓↓↓↓↓.

[tex] \begin{array}{r | l}

2 & 306 ,657\\

{2} & 158,657 \\

{2} & 79,657 \\

{3} & 79 ,219\\

{3} & 79 ,73\\

{73} & 79 ,1\\

{79} & 1,1 \\

\end{array}[/tex]

L.C.M = 2×2×2×3×3×73×79.

L.C.M = 415,224 .

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H.C.F ↓↓↓↓↓↓.

[tex] \begin{array}{r | l}

[tex] \begin{array}{r | l} 2 & 306 \\

[tex] \begin{array}{r | l} 2 & 306 \\ {2} & 158 \\

[tex] \begin{array}{r | l} 2 & 306 \\ {2} & 158 \\ {79} & 79 \\

[tex] \begin{array}{r | l} 2 & 306 \\ {2} & 158 \\ {79} & 79 \\ {} & 1 \\

[tex] \begin{array}{r | l} 2 & 306 \\ {2} & 158 \\ {79} & 79 \\ {} & 1 \\

[tex] \begin{array}{r | l} 2 & 306 \\ {2} & 158 \\ {79} & 79 \\ {} & 1 \\

[tex] \begin{array}{r | l} 2 & 306 \\ {2} & 158 \\ {79} & 79 \\ {} & 1 \\ \end{array}[/tex]

AND

[tex] \begin{array}{r | l}

[tex] \begin{array}{r | l} 3 & 657 \\

[tex] \begin{array}{r | l} 3 & 657 \\ {3} & 219 \\

[tex] \begin{array}{r | l} 3 & 657 \\ {3} & 219 \\ {73} & 73 \\

[tex] \begin{array}{r | l} 3 & 657 \\ {3} & 219 \\ {73} & 73 \\ {} & 1 \\

[tex] \begin{array}{r | l} 3 & 657 \\ {3} & 219 \\ {73} & 73 \\ {} & 1 \\

[tex] \begin{array}{r | l} 3 & 657 \\ {3} & 219 \\ {73} & 73 \\ {} & 1 \\

[tex] \begin{array}{r | l} 3 & 657 \\ {3} & 219 \\ {73} & 73 \\ {} & 1 \\ \end{array}[/tex]

FACTORS OF 306 = 2 × 2 × 79

FACTORS OF 657 = 3 × 3 × 73

NOTHING IS COMMON :)

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SO THE H.C.F IS 1 :)

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