Algebra Examples

50

$50$ ,

25

$25$ ,

100

$100$

Step 1

Find the common factors for the numerical part:

50, 25, 100

$50, 25, 100$

Step 2

The factors for

50

$50$ are

1, 2, 5, 10, 25, 50

$1, 2, 5, 10, 25, 50$ .

Tap for more steps...

Step 2.1

The factors for

50

$50$ are all numbers between

1

$1$ and

50

$50$ , which divide

50

$50$ evenly.

Check numbers between

1

$1$ and

50

$50$

Step 2.2

Find the factor pairs of

50

$50$ where

x \cdot y = 50

$x \cdot y = 50$ .

\begin{array}{c} x & y \\ 1 & 50 \\ 2 & 25 \\ 5 & 10 \end{array}

$\begin{array}{c} x & y \\ 1 & 50 \\ 2 & 25 \\ 5 & 10 \end{array}$

Step 2.3

List the factors for

50

$50$ .

1, 2, 5, 10, 25, 50

$1, 2, 5, 10, 25, 50$

1, 2, 5, 10, 25, 50

$1, 2, 5, 10, 25, 50$

Step 3

The factors for

25

$25$ are

1, 5, 25

$1, 5, 25$ .

Tap for more steps...

Step 3.1

The factors for

25

$25$ are all numbers between

1

$1$ and

25

$25$ , which divide

25

$25$ evenly.

Check numbers between

1

$1$ and

25

$25$

Step 3.2

Find the factor pairs of

25

$25$ where

x \cdot y = 25

$x \cdot y = 25$ .

\begin{array}{c} x & y \\ 1 & 25 \\ 5 & 5 \end{array}

$\begin{array}{c} x & y \\ 1 & 25 \\ 5 & 5 \end{array}$

Step 3.3

List the factors for

25

$25$ .

1, 5, 25

$1, 5, 25$

1, 5, 25

$1, 5, 25$

Step 4

The factors for

100

$100$ are

1, 2, 4, 5, 10, 20, 25, 50, 100

$1, 2, 4, 5, 10, 20, 25, 50, 100$ .

Tap for more steps...

Step 4.1

The factors for

100

$100$ are all numbers between

1

$1$ and

100

$100$ , which divide

100

$100$ evenly.

Check numbers between

1

$1$ and

100

$100$

Step 4.2

Find the factor pairs of

100

$100$ where

x \cdot y = 100

$x \cdot y = 100$ .

\begin{array}{c} x & y \\ 1 & 100 \\ 2 & 50 \\ 4 & 25 \\ 5 & 20 \\ 10 & 10 \end{array}

$\begin{array}{c} x & y \\ 1 & 100 \\ 2 & 50 \\ 4 & 25 \\ 5 & 20 \\ 10 & 10 \end{array}$

Step 4.3

List the factors for

100

$100$ .

1, 2, 4, 5, 10, 20, 25, 50, 100

$1, 2, 4, 5, 10, 20, 25, 50, 100$

1, 2, 4, 5, 10, 20, 25, 50, 100

$1, 2, 4, 5, 10, 20, 25, 50, 100$

Step 5

List all the factors for

50, 25, 100

$50, 25, 100$ to find the common factors.

50

$50$ :

1, 2, 5, 10, 25, 50

$1, 2, 5, 10, 25, 50$

25

$25$ :

1, 5, 25

$1, 5, 25$

100

$100$ :

1, 2, 4, 5, 10, 20, 25, 50, 100

$1, 2, 4, 5, 10, 20, 25, 50, 100$

Step 6

The common factors for

50, 25, 100

$50, 25, 100$ are

1, 5, 25

$1, 5, 25$ .

1, 5, 25

$1, 5, 25$

Step 7

The GCF (HCF) of the numerical factors

1, 5, 25

$1, 5, 25$ is

25

$25$ .

25

$25$