Gearing Up -GCF & LCM Word Problems

What are the first three common multiples for 3 and 4?

Find the prime factorization of 420

Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need?

Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height?

Beginning at 8:30 A.M., tours of the National Capitol and the White House begin at a tour agency. Tours for the National Capitol leave every 15 minutes. Tours for the White House leave every 20 minutes. How often do the tours leave at the same time?

Keesha is putting together bags of supplies. She puts an equal number of craft sticks and an equal number of glue bottles in each bag. There are no supplies left over. What is the greatest number of bags of supplies that Keesha can make?

Two neon lights are turned on at the same time. One blinks every 4 seconds and the other blinks every 6 seconds. How often will they blink at the same time?

The table below shows the number of students in the school choir. The choir teacher plans to arrange the students in equal rows. Only girls or boys will be in each row. What is the greatest number of students that could be in each row?

Mark sets the dinner table every 2 days and dries the dishes every 3 days. On what day would Mark first perform both chores on the same day?

You have 50 blueberry scones and 75 cranberry scones. You want to make as many identical bags as possible. Each bag should have an equal number of blueberry and cranberry scones. What is the greatest number of bags you can fill?

At a display booth at an amusement park, every visitor gets a gift bag. Some of the bags have items in them as shown in the table below. How often will a bag contain all three items?

What words indicate that you should use GCF?

How confident do you feel about this topic now?