Chapter 4.2, Problem 75S

To determine

To find: the GCF of the given set of numbers.

Answer to Problem 75S

  $1$ .

Explanation of Solution

Given:

The given set of numbers is $15,21,49$ .

Calculation:

According to the question, the objective is to find the greatest common factor.

First find the factor of the given number so that to find the GCF.

Now the factor of $15,21,49$ are:

  $\begin{array}{l}15=3\times 5\\ 21=3\times 7\\ 49=7\times 7\end{array}$

Since, the GCF of 15 and 21 is 3 and the GCF of 21 and 49 is 7

But the GCF of $15,21,49$ has no common factor other than 1.

Therefore, the GCF of $15,21,49$ is1

Hence, the GCF of the given set of numbers is $1$ .