Find the GCF 40 , 56 , 88

$40$ , $56$ , $88$

Step 1

Find the common factors for the numerical part:

$40, 56, 88$

Step 2

The factors for $40$ are $1, 2, 4, 5, 8, 10, 20, 40$ .

The factors for $40$ are all numbers between $1$ and $40$ , which divide $40$ evenly.

Check numbers between $1$ and $40$

Find the factor pairs of $40$ where $x \cdot y = 40$ .

$\begin{array}{c} x & y \\ 1 & 40 \\ 2 & 20 \\ 4 & 10 \\ 5 & 8 \end{array}$

List the factors for $40$ .

$1, 2, 4, 5, 8, 10, 20, 40$

Step 3

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

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

Check numbers between $1$ and $56$

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

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

List the factors for $56$ .

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

Step 4

The factors for $88$ are $1, 2, 4, 8, 11, 22, 44, 88$ .

The factors for $88$ are all numbers between $1$ and $88$ , which divide $88$ evenly.

Check numbers between $1$ and $88$

Find the factor pairs of $88$ where $x \cdot y = 88$ .

$\begin{array}{c} x & y \\ 1 & 88 \\ 2 & 44 \\ 4 & 22 \\ 8 & 11 \end{array}$

List the factors for $88$ .

$1, 2, 4, 8, 11, 22, 44, 88$

Step 5

List all the factors for $40, 56, 88$ to find the common factors.

$40$ : $1, 2, 4, 5, 8, 10, 20, 40$

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

$88$ : $1, 2, 4, 8, 11, 22, 44, 88$

Step 6

The common factors for $40, 56, 88$ are $1, 2, 4, 8$ .

$1, 2, 4, 8$

Step 7

The GCF (HCF) of the numerical factors $1, 2, 4, 8$ is $8$ .

$8$