Gearing Up -GCF & LCM Word Problems

Multiple Choice

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

• 1, 2, 3

• 6, 12, 18

• 12, 24, 36

• 8, 12, 16

Multiple Choice

What is the LCM of 45 and 72?

• 72
• 3,240
• 360
• 260

Multiple Choice

Find the prime factorization of 420

• 2² • 3 • 5 • 7

• 7⁷

• 2² • 3 • 11

• 2³ • 3 • 7

Multiple Choice

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?

• GCF

• LCM

Multiple Choice

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?

• GCF

• LCM

Multiple Choice

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?

• GCF

• LCM

Multiple Choice

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?

• GCF

• LCM

Multiple Choice

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?

• GCF

• LCM

Multiple Choice

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?

• GCF

• LCM

Multiple Choice

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?

• GCF

• LCM

Multiple Choice

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?

• GCF

• LCM

Multiple Choice

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?

• GCF

• LCM

Multiple Choice

Jane has 18 juice boxes, 24 bags of peanuts and 36 apples.  She wants to make snack bags with the same number of each thing in each bag.  What is the greatest number of snack bags Jane can make.

• 4
• 6
• 8
• 10

Fill in the Blank

There are 48 girls and 64 boys. 
The choir teacher plans to arrange the students in equal rows.
Only girls or boys will be in each row (no mixing of girls and boys in the same row). What is the greatest number of students that could be in each row?

Multiple Choice

Maya had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?

• 4
• 2
• 48
• 8

Fill in the Blank

Every 3 days Destiny has PB & J for lunch, and every 5 days she makes macaroni and cheese. What day will she need to make a decision as to what to make because she will have to choose between the two?

Fill in the Blank

Peter has 18 oranges and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make?

Multiple Choice

What words indicate that you should use GCF?

• greatest

• largest groups

• arrange equally

• All of the above

Poll

How confident do you feel about this topic now?

• Very confident
• Somewhat confident
• Not confident