Pre-Algebra Examples

6

$6$ ,

9

$9$ ,

18

$18$

Step 1

Find the common factors for the numerical part:

6, 9, 18

$6, 9, 18$

Step 2

The factors for

6

$6$ are

1, 2, 3, 6

$1, 2, 3, 6$ .

Tap for more steps...

Step 2.1

The factors for

6

$6$ are all numbers between

1

$1$ and

6

$6$ , which divide

6

$6$ evenly.

Check numbers between

1

$1$ and

6

$6$

Step 2.2

Find the factor pairs of

6

$6$ where

x \cdot y = 6

$x \cdot y = 6$ .

\begin{array}{c} x & y \\ 1 & 6 \\ 2 & 3 \end{array}

$\begin{array}{c} x & y \\ 1 & 6 \\ 2 & 3 \end{array}$

Step 2.3

List the factors for

6

$6$ .

1, 2, 3, 6

$1, 2, 3, 6$

1, 2, 3, 6

$1, 2, 3, 6$

Step 3

The factors for

9

$9$ are

1, 3, 9

$1, 3, 9$ .

Tap for more steps...

Step 3.1

The factors for

9

$9$ are all numbers between

1

$1$ and

9

$9$ , which divide

9

$9$ evenly.

Check numbers between

1

$1$ and

9

$9$

Step 3.2

Find the factor pairs of

9

$9$ where

x \cdot y = 9

$x \cdot y = 9$ .

\begin{array}{c} x & y \\ 1 & 9 \\ 3 & 3 \end{array}

$\begin{array}{c} x & y \\ 1 & 9 \\ 3 & 3 \end{array}$

Step 3.3

List the factors for

9

$9$ .

1, 3, 9

$1, 3, 9$

1, 3, 9

$1, 3, 9$

Step 4

The factors for

18

$18$ are

1, 2, 3, 6, 9, 18

$1, 2, 3, 6, 9, 18$ .

Tap for more steps...

Step 4.1

The factors for

18

$18$ are all numbers between

1

$1$ and

18

$18$ , which divide

18

$18$ evenly.

Check numbers between

1

$1$ and

18

$18$

Step 4.2

Find the factor pairs of

18

$18$ where

x \cdot y = 18

$x \cdot y = 18$ .

\begin{array}{c} x & y \\ 1 & 18 \\ 2 & 9 \\ 3 & 6 \end{array}

$\begin{array}{c} x & y \\ 1 & 18 \\ 2 & 9 \\ 3 & 6 \end{array}$

Step 4.3

List the factors for

18

$18$ .

1, 2, 3, 6, 9, 18

$1, 2, 3, 6, 9, 18$

1, 2, 3, 6, 9, 18

$1, 2, 3, 6, 9, 18$

Step 5

List all the factors for

6, 9, 18

$6, 9, 18$ to find the common factors.

6

$6$ :

1, 2, 3, 6

$1, 2, 3, 6$

9

$9$ :

1, 3, 9

$1, 3, 9$

18

$18$ :

1, 2, 3, 6, 9, 18

$1, 2, 3, 6, 9, 18$

Step 6

The common factors for

6, 9, 18

$6, 9, 18$ are

1, 3

$1, 3$ .

1, 3

$1, 3$

Step 7

The GCF (HCF) of the numerical factors

1, 3

$1, 3$ is

3

$3$ .

3

$3$