Question

Carolyn has 24 bottles of shampoo, 36 tubes of hand lotion, and 60 bars of lavender soap to make gift baskets. She wants to have the same number of each item in every basket. What is the greatest number of baskets she can make without having any of the items leftover? Is it GCF or LCM?

A. 12 baskets (GCF)
B. 6 baskets (LCM)
C. 3 baskets (GCF)
D. 18 baskets (LCM)

Answer 1

The greatest number of baskets Carolyn can make without having any items leftover is 12. This is determined by finding the greatest common factor (GCF) of the given quantities.

Step-by-step explanation:

To find the greatest number of baskets Carolyn can make without having any items leftover, we need to determine the greatest common factor (GCF) or least common multiple (LCM) of the given quantities. In this case, we are looking for the GCF because Carolyn wants the same number of each item in every basket.

To find the GCF, we need to find the factors of each number and identify the largest factor that is common to all three numbers. The GCF of 24, 36, and 60 is 12.

Therefore, Carolyn can make 12 baskets without having any shampoo, hand lotion, or lavender soap leftover.