Algebra Examples

$15$ , $50$

Step 1

Find the common factors for the numerical part:

$15, 50$

Step 2

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

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Step 2.1

The factors for $15$ are all numbers between $1$ and $15$ , which divide $15$ evenly.

Check numbers between $1$ and $15$

Step 2.2

Find the factor pairs of $15$ where $x \cdot y = 15$ .

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

Step 2.3

List the factors for $15$ .

$1, 3, 5, 15$

Step 3

The factors for $50$ are $1, 2, 5, 10, 25, 50$ .

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Step 3.1

The factors for $50$ are all numbers between $1$ and $50$ , which divide $50$ evenly.

Check numbers between $1$ and $50$

Step 3.2

Find the factor pairs of $50$ where $x \cdot y = 50$ .

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

Step 3.3

List the factors for $50$ .

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

Step 4

List all the factors for $15, 50$ to find the common factors.

$15$ : $1, 3, 5, 15$

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

Step 5

The common factors for $15, 50$ are $1, 5$ .

$1, 5$

Step 6

The GCF (HCF) of the numerical factors $1, 5$ is $5$ .

$5$

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