Pre-Algebra Examples

$| - 7 |$ , $| 4 |$

Step 1

Simplify each term.

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The absolute value is the distance between a number and zero. The distance between $- 7$ and $0$ is $7$ .

$7, | 4 |$

The absolute value is the distance between a number and zero. The distance between $0$ and $4$ is $4$ .

$7, 4$

Step 2

The factors for $7$ are $1, 7$ .

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The factors for $7$ are all numbers between $1$ and $7$ , which divide $7$ evenly.

Check numbers between $1$ and $7$

Find the factor pairs of $7$ where $x \cdot y = 7$ .

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

List the factors for $7$ .

$1, 7$

Step 3

The factors for $4$ are $1, 2, 4$ .

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The factors for $4$ are all numbers between $1$ and $4$ , which divide $4$ evenly.

Check numbers between $1$ and $4$

Find the factor pairs of $4$ where $x \cdot y = 4$ .

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

List the factors for $4$ .

$1, 2, 4$

Step 4

List all the factors for $7, 4$ to find the common factors.

$7$ : $1, 7$

$4$ : $1, 2, 4$

Step 5

The common factors for $7, 4$ are $1$ .

$1$

Step 6

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

$1$