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Find the greatest common factor
Answer
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Find the least common multiple
Answer
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$2,9$
$1$
Find the greatest common factor
$\color{#FF6800}{ 2 } , \color{#FF6800}{ 9 }$
$ $ Do prime factorization $ $
$\begin{cases} 2 = \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \\ 9 = \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \end{cases}$
$\begin{cases} 2 = 2 ^ { 1 } \\ 9 = 3 ^ { 2 } \end{cases}$
$ $ There are no common prime factors $ $
$\begin{cases} 2 = 2 ^ { 1 } \\ 9 = 3 ^ { 2 } \\ \text{There are no common factors} \end{cases}$
$\begin{cases} 2 = 2 ^ { 1 } \\ 9 = 3 ^ { 2 } \\ \text{There are no common factors} \end{cases}$
$ $ If there is no common factor, the greatest common factor is 1 $ $
$\color{#FF6800}{ 1 }$
$18$
Find the least common multiple
$\color{#FF6800}{ 2 } , \color{#FF6800}{ 9 }$
$ $ Do prime factorization $ $
$\begin{cases} 2 = \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \\ 9 = \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \end{cases}$
$\begin{cases} 2 = 2 ^ { 1 } \\ 9 = 3 ^ { 2 } \end{cases}$
$ $ There are no common prime factors $ $
$\begin{cases} 2 = 2 ^ { 1 } \\ 9 = 3 ^ { 2 } \\ \text{There are no common factors} \end{cases}$
$\begin{cases} 2 = \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \\ 9 = \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \\ \text{There are no common factors} \end{cases}$
$ $ Multiply all non-common prime factors, $ 2 , 3 $ and choose the exponent of the power from one of equal to or greater $ $
$\begin{cases} 2 = \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \\ 9 = \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \\ \text{Least common multiple (LCM)} :\text{ } \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \end{cases}$
$\begin{cases} \color{#FF6800}{ 2 } = \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \\ \color{#FF6800}{ 9 } = \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \\ \text{Least common multiple (LCM)} :\text{ } \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \end{cases}$
$ $ Find the least common multiple $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } }$
$ $ Simplify the expression $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 9 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 9 }$
$ $ Multiply $ 2 $ and $ 9$
$\color{#FF6800}{ 18 }$
Solution search results
search-thumbnail-$2\right)$ Simplify- $\dfrac {9^{\dfrac {3} {2}}.9^{\dfrac {-4} {2}}} {9^{\dfrac {1} {2}}}$
7th-9th grade
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