Chapter 4.2, Problem 9C

To determine

To write: The relationship between the resulting quotients while dividing two numbers by their greatest common factor.

Answer to Problem 9C

The resulting quotients are relatively prime to each other.

Explanation of Solution

Given information:

Two numbers divided by their greatest common factor.

Consider two numbers $4\text{ and }8$

Greatest common factor of $4\text{ and }8$ is $4$

Now, divide both the numbers by their greatest common factor.

  $\frac{4}{4}=1\text{ and }\frac{8}{4}=2$

Here, resulting quotients are $1\text{ and }2$ , which are relatively.

Hence, it can be concluded that when two numbers are divided by their greatest common factor, then the resulting quotients are relatively prime to each other.