Algebra Examples

24

$24$ ,

14

$14$ ,

21

$21$

Step 1

Find the common factors for the numerical part:

24, 14, 21

$24, 14, 21$

Step 2

The factors for

24

$24$ are

1, 2, 3, 4, 6, 8, 12, 24

$1, 2, 3, 4, 6, 8, 12, 24$ .

Tap for more steps...

Step 2.1

The factors for

24

$24$ are all numbers between

1

$1$ and

24

$24$ , which divide

24

$24$ evenly.

Check numbers between

1

$1$ and

24

$24$

Step 2.2

Find the factor pairs of

24

$24$ where

x \cdot y = 24

$x \cdot y = 24$ .

\begin{matrix} x & y 1 & 24 2 & 12 3 & 8 4 & 6 \end{matrix}

$\begin{array}{c} x & y \\ 1 & 24 \\ 2 & 12 \\ 3 & 8 \\ 4 & 6 \end{array}$

Step 2.3

List the factors for

24

$24$ .

1, 2, 3, 4, 6, 8, 12, 24

$1, 2, 3, 4, 6, 8, 12, 24$

1, 2, 3, 4, 6, 8, 12, 24

$1, 2, 3, 4, 6, 8, 12, 24$

Step 3

The factors for

14

$14$ are

1, 2, 7, 14

$1, 2, 7, 14$ .

Tap for more steps...

Step 3.1

The factors for

14

$14$ are all numbers between

1

$1$ and

14

$14$ , which divide

14

$14$ evenly.

Check numbers between

1

$1$ and

14

$14$

Step 3.2

Find the factor pairs of

14

$14$ where

x \cdot y = 14

$x \cdot y = 14$ .

\begin{matrix} x & y 1 & 14 2 & 7 \end{matrix}

$\begin{array}{c} x & y \\ 1 & 14 \\ 2 & 7 \end{array}$

Step 3.3

List the factors for

14

$14$ .

1, 2, 7, 14

$1, 2, 7, 14$

1, 2, 7, 14

$1, 2, 7, 14$

Step 4

The factors for

21

$21$ are

1, 3, 7, 21

$1, 3, 7, 21$ .

Tap for more steps...

Step 4.1

The factors for

21

$21$ are all numbers between

1

$1$ and

21

$21$ , which divide

21

$21$ evenly.

Check numbers between

1

$1$ and

21

$21$

Step 4.2

Find the factor pairs of

21

$21$ where

x \cdot y = 21

$x \cdot y = 21$ .

\begin{matrix} x & y 1 & 21 3 & 7 \end{matrix}

$\begin{array}{c} x & y \\ 1 & 21 \\ 3 & 7 \end{array}$

Step 4.3

List the factors for

21

$21$ .

1, 3, 7, 21

$1, 3, 7, 21$

1, 3, 7, 21

$1, 3, 7, 21$

Step 5

List all the factors for

24, 14, 21

$24, 14, 21$ to find the common factors.

24

$24$ :

1, 2, 3, 4, 6, 8, 12, 24

$1, 2, 3, 4, 6, 8, 12, 24$

14

$14$ :

1, 2, 7, 14

$1, 2, 7, 14$

21

$21$ :

1, 3, 7, 21

$1, 3, 7, 21$

Step 6

The common factors for

24, 14, 21

$24, 14, 21$ are

1

$1$ .

1

$1$

Step 7

The GCF (HCF) of the numerical factors

1

$1$ is

1

$1$ .

1

$1$