Algebra Examples

135

$135$ ,

225

$225$

Step 1

Find the common factors for the numerical part:

135, 225

$135, 225$

Step 2

The factors for

135

$135$ are

1, 3, 5, 9, 15, 27, 45, 135

$1, 3, 5, 9, 15, 27, 45, 135$ .

Tap for more steps...

Step 2.1

The factors for

135

$135$ are all numbers between

1

$1$ and

135

$135$ , which divide

135

$135$ evenly.

Check numbers between

1

$1$ and

135

$135$

Step 2.2

Find the factor pairs of

135

$135$ where

x \cdot y = 135

$x \cdot y = 135$ .

\begin{array}{c} x & y \\ 1 & 135 \\ 3 & 45 \\ 5 & 27 \\ 9 & 15 \end{array}

$\begin{array}{c} x & y \\ 1 & 135 \\ 3 & 45 \\ 5 & 27 \\ 9 & 15 \end{array}$

Step 2.3

List the factors for

135

$135$ .

1, 3, 5, 9, 15, 27, 45, 135

$1, 3, 5, 9, 15, 27, 45, 135$

1, 3, 5, 9, 15, 27, 45, 135

$1, 3, 5, 9, 15, 27, 45, 135$

Step 3

The factors for

225

$225$ are

1, 3, 5, 9, 15, 25, 45, 75, 225

$1, 3, 5, 9, 15, 25, 45, 75, 225$ .

Tap for more steps...

Step 3.1

The factors for

225

$225$ are all numbers between

1

$1$ and

225

$225$ , which divide

225

$225$ evenly.

Check numbers between

1

$1$ and

225

$225$

Step 3.2

Find the factor pairs of

225

$225$ where

x \cdot y = 225

$x \cdot y = 225$ .

\begin{array}{c} x & y \\ 1 & 225 \\ 3 & 75 \\ 5 & 45 \\ 9 & 25 \\ 15 & 15 \end{array}

$\begin{array}{c} x & y \\ 1 & 225 \\ 3 & 75 \\ 5 & 45 \\ 9 & 25 \\ 15 & 15 \end{array}$

Step 3.3

List the factors for

225

$225$ .

1, 3, 5, 9, 15, 25, 45, 75, 225

$1, 3, 5, 9, 15, 25, 45, 75, 225$

1, 3, 5, 9, 15, 25, 45, 75, 225

$1, 3, 5, 9, 15, 25, 45, 75, 225$

Step 4

List all the factors for

135, 225

$135, 225$ to find the common factors.

135

$135$ :

1, 3, 5, 9, 15, 27, 45, 135

$1, 3, 5, 9, 15, 27, 45, 135$

225

$225$ :

1, 3, 5, 9, 15, 25, 45, 75, 225

$1, 3, 5, 9, 15, 25, 45, 75, 225$

Step 5

The common factors for

135, 225

$135, 225$ are

1, 3, 5, 9, 15, 45

$1, 3, 5, 9, 15, 45$ .

1, 3, 5, 9, 15, 45

$1, 3, 5, 9, 15, 45$

Step 6

The GCF (HCF) of the numerical factors

1, 3, 5, 9, 15, 45

$1, 3, 5, 9, 15, 45$ is

45

$45$ .

45

$45$