Pre-Algebra Examples

$56$ , $61$ , $44$ , $47$ , $45$ , $25$ , $48$ , $47$

Step 1

Find the common factors for the numerical part:

$56, 61, 44, 47, 45, 25, 48, 47$

Step 2

The factors for $56$ are $1, 2, 4, 7, 8, 14, 28, 56$ .

Tap for more steps...

Step 2.1

The factors for $56$ are all numbers between $1$ and $56$ , which divide $56$ evenly.

Check numbers between $1$ and $56$

Step 2.2

Find the factor pairs of $56$ where $x \cdot y = 56$ .

$\begin{array}{c} x & y \\ 1 & 56 \\ 2 & 28 \\ 4 & 14 \\ 7 & 8 \end{array}$

Step 2.3

List the factors for $56$ .

$1, 2, 4, 7, 8, 14, 28, 56$

Step 3

The factors for $61$ are $1, 61$ .

Tap for more steps...

Step 3.1

The factors for $61$ are all numbers between $1$ and $61$ , which divide $61$ evenly.

Check numbers between $1$ and $61$

Step 3.2

Find the factor pairs of $61$ where $x \cdot y = 61$ .

$\begin{array}{c} x & y \\ 1 & 61 \end{array}$

Step 3.3

List the factors for $61$ .

$1, 61$

Step 4

The factors for $44$ are $1, 2, 4, 11, 22, 44$ .

Tap for more steps...

Step 4.1

The factors for $44$ are all numbers between $1$ and $44$ , which divide $44$ evenly.

Check numbers between $1$ and $44$

Step 4.2

Find the factor pairs of $44$ where $x \cdot y = 44$ .

$\begin{array}{c} x & y \\ 1 & 44 \\ 2 & 22 \\ 4 & 11 \end{array}$

Step 4.3

List the factors for $44$ .

$1, 2, 4, 11, 22, 44$

Step 5

The factors for $47$ are $1, 47$ .

Tap for more steps...

Step 5.1

The factors for $47$ are all numbers between $1$ and $47$ , which divide $47$ evenly.

Check numbers between $1$ and $47$

Step 5.2

Find the factor pairs of $47$ where $x \cdot y = 47$ .

$\begin{array}{c} x & y \\ 1 & 47 \end{array}$

Step 5.3

List the factors for $47$ .

$1, 47$

Step 6

The factors for $45$ are $1, 3, 5, 9, 15, 45$ .

Tap for more steps...

Step 6.1

The factors for $45$ are all numbers between $1$ and $45$ , which divide $45$ evenly.

Check numbers between $1$ and $45$

Step 6.2

Find the factor pairs of $45$ where $x \cdot y = 45$ .

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

Step 6.3

List the factors for $45$ .

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

Step 7

The factors for $25$ are $1, 5, 25$ .

Tap for more steps...

Step 7.1

The factors for $25$ are all numbers between $1$ and $25$ , which divide $25$ evenly.

Check numbers between $1$ and $25$

Step 7.2

Find the factor pairs of $25$ where $x \cdot y = 25$ .

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

Step 7.3

List the factors for $25$ .

$1, 5, 25$

Step 8

The factors for $48$ are $1, 2, 3, 4, 6, 8, 12, 16, 24, 48$ .

Tap for more steps...

Step 8.1

The factors for $48$ are all numbers between $1$ and $48$ , which divide $48$ evenly.

Check numbers between $1$ and $48$

Step 8.2

Find the factor pairs of $48$ where $x \cdot y = 48$ .

$\begin{array}{c} x & y \\ 1 & 48 \\ 2 & 24 \\ 3 & 16 \\ 4 & 12 \\ 6 & 8 \end{array}$

Step 8.3

List the factors for $48$ .

$1, 2, 3, 4, 6, 8, 12, 16, 24, 48$

Step 9

The factors for $47$ are $1, 47$ .

Tap for more steps...

Step 9.1

The factors for $47$ are all numbers between $1$ and $47$ , which divide $47$ evenly.

Check numbers between $1$ and $47$

Step 9.2

Find the factor pairs of $47$ where $x \cdot y = 47$ .

$\begin{array}{c} x & y \\ 1 & 47 \end{array}$

Step 9.3

List the factors for $47$ .

$1, 47$

Step 10

List all the factors for $56, 61, 44, 47, 45, 25, 48, 47$ to find the common factors.

$56$ : $1, 2, 4, 7, 8, 14, 28, 56$

$61$ : $1, 61$

$44$ : $1, 2, 4, 11, 22, 44$

$47$ : $1, 47$

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

$25$ : $1, 5, 25$

$48$ : $1, 2, 3, 4, 6, 8, 12, 16, 24, 48$

$47$ : $1, 47$

Step 11

The common factors for $56, 61, 44, 47, 45, 25, 48, 47$ are $1$ .

$1$

Step 12

The GCF (HCF) of the numerical factors $1$ is $1$ .

$1$