Algebra Examples

$340$ and $304$

Step 1

Find the common factors for the numerical part:

$340, 304$

Step 2

The factors for $340$ are $1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340$ .

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Step 2.1

The factors for $340$ are all numbers between $1$ and $340$ , which divide $340$ evenly.

Check numbers between $1$ and $340$

Step 2.2

Find the factor pairs of $340$ where $x \cdot y = 340$ .

$\begin{array}{c} x & y \\ 1 & 340 \\ 2 & 170 \\ 4 & 85 \\ 5 & 68 \\ 10 & 34 \\ 17 & 20 \end{array}$

Step 2.3

List the factors for $340$ .

$1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340$

Step 3

The factors for $304$ are $1, 2, 4, 8, 16, 19, 38, 76, 152, 304$ .

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Step 3.1

The factors for $304$ are all numbers between $1$ and $304$ , which divide $304$ evenly.

Check numbers between $1$ and $304$

Step 3.2

Find the factor pairs of $304$ where $x \cdot y = 304$ .

$\begin{array}{c} x & y \\ 1 & 304 \\ 2 & 152 \\ 4 & 76 \\ 8 & 38 \\ 16 & 19 \end{array}$

Step 3.3

List the factors for $304$ .

$1, 2, 4, 8, 16, 19, 38, 76, 152, 304$

Step 4

List all the factors for $340, 304$ to find the common factors.

$340$ : $1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340$

$304$ : $1, 2, 4, 8, 16, 19, 38, 76, 152, 304$

Step 5

The common factors for $340, 304$ are $1, 2, 4$ .

$1, 2, 4$

Step 6

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

$4$