Pre-Algebra Examples

$100 \div 35$ , $0$

Step 1

Find the GCF for the numerators $100, 0$ .

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Step 1.1

Find the common factors for the numerical part:

$100, 0$

Step 1.2

The factors for $100$ are $1, 2, 4, 5, 10, 20, 25, 50, 100$ .

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Step 1.2.1

The factors for $100$ are all numbers between $1$ and $100$ , which divide $100$ evenly.

Check numbers between $1$ and $100$

Step 1.2.2

Find the factor pairs of $100$ where $x \cdot y = 100$ .

$\begin{array}{c} x & y \\ 1 & 100 \\ 2 & 50 \\ 4 & 25 \\ 5 & 20 \\ 10 & 10 \end{array}$

Step 1.2.3

List the factors for $100$ .

$1, 2, 4, 5, 10, 20, 25, 50, 100$

Step 1.3

Every number is a factor of $0$ .

Infinitely many factors

Step 1.4

List all the factors for $100, 0$ to find the common factors.

$100$ : $1, 2, 4, 5, 10, 20, 25, 50, 100$

$0$ : Infinitely many factors

Step 1.5

The common factors for $100, 0$ are $1, 2, 4, 5, 10, 20, 25, 50, 100$ .

$1, 2, 4, 5, 10, 20, 25, 50, 100$

Step 1.6

The GCF (HCF) of the numerical factors $1, 2, 4, 5, 10, 20, 25, 50, 100$ is $100$ .

$100$

Step 2

The GCF of a single polynomial is itself.

$35$

Step 3

Determine the GCF for $100 \div 35, 0$ .

$\frac{20}{7}$