Chapter 4, Problem 7CT

To determine

To find the GCF and the LCM of the numbers 315 and 882.

Answer to Problem 7CT

The GCF and LCM of the numbers is 63 and 4410

Explanation of Solution

Given information: 315 and 882

Calculation :

The prime factorization of the numbers are:

  $\begin{array}{l}315=3\times 3\times 5\times 7=3^2\times 5\times 7\\ 882=2\times 3\times 3\times 7\times 7=2\times 3^2\times 7^2\end{array}$

Hence, the GCF of the given numbers is   $3^2\times 7=63$

and the LCM of the given numbers is   $2\times 3^2\times 5\times 7^2=4410$