GCF and LCM Practice

GCF and LCM Practice

Use your notes to help you need it :)

Multiple Choice

Henry and Margo both began traveling around a circular track. Henry is riding his bike, and Margo is walking. It takes Henry 7 minutes to make it all the way around, and Margo takes 12 minutes. How much time will pass until they meet at the starting line?

• 84 minutes
• 48 minutes
• 854 minutes
• 78 minutes

Multiple Choice

At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items?

• 16th customer
• 150th customer
• 300th customer
• 180th customer

Multiple Choice

Melanie has pieces of train track that are 8 inches long that she is connecting together to form a track that her train can travel on. Martin is also trying to construct a track for his train but is using track pieces that are 20 inches long. How long will the shortest track be if the track that Melanie builds ends up being the same length as Martin’s track?

• 10 inches
• 20 inches
• 30 inches
• 40 inches

Multiple Choice

Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers
for her teacher 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?

• 2
• 4
• 6
• 8

Multiple Choice

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?

• 8
• 6
• 16
• 12

Multiple Choice

There are 40 girls and 32 boys who want to participate in 6th grade intramurals. If each team must

have the same number of girls and the same number of boys. What is the greatest number of teams that can participate in intramurals?

• 6

• 4

• 8

• 2

Multiple Choice

Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white

balloons, and 16 orange balloons. She wants each arrangement to have the same number of each

color. What is the greatest number of arrangements that she can make if every balloon is used?

• 6

• 2

• 4

• 8

Multiple Choice

At Kentucky Fried Chicken, the kitchen staff baked 96 chicken legs and 144 thighs.  The staff had to prepare platters for an office lunch.  If each platter will have the same number of legs and thighs, what is the greatest number of platters they can make?

• 48
• 2
• 4
• 16

Multiple Choice

Jeremy has two pieces of wood:  one is 90 inches and the other is 72 inches. He wants to cut both pieces into smaller pieces of the same length.  What is the longest possible length he can cut and not have any lumber left over?

• 9
• 2
• 18
• 72

Multiple Choice

Peter has 18 oranges and 27 pears.  He wants to make fruit baskets with the same number of each fruit in each basket.  What is the greatest number of baskets he can make? 

• 3
• 18
• 9
• 27

Multiple Choice

Ian goes hiking every 4 days and swimming every 6 days. He did both kinds of exercise today. How many days from now will he go both hiking and swimming again?

• 2 days
• 12 days
• 24 days
• 48 days

Multiple Choice

Lisa is making activity baskets to donate to charity.  She has 12 coloring books and 36 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?

• 2
• 12
• 36
• 6

Multiple Choice

What is the GCF of 24 and 40?

• 1
• 2
• 4
• 8

Multiple Choice

List all the factors of 18

• 1, 6, 9, 18
• 1, 2, 3, 4, 18
• 1, 2, 3, 6, 9, 18
• 2, 6, 9, 18

Multiple Choice

Joe has listed the first 4 multiples of 7 as: 
7   14    22     28
Which one is incorrect?

• 7
• 14
• 22
• 28

Multiple Choice

Fill in the missing multiple.
3:  3, 6, 9, ___, 15, 18, 21

• 10
• 11
• 12
• 13

Multiple Choice

What is the least common multiple (LCM) of 8 and 5?

• 50
• 40
• 5
• 8

Multiple Choice

Which of the following is a multiple of 8?

• 8
• 2
• 4
• 100

Multiple Choice

The pet shop is putting together goody bags to send to different shelters.  They have 36 chew toys, 24 dog bones and 18 chase toys for cats.  What is the maximum number of goody bags will they be able to make to send to shelters? 

• 4 bags
• 8 bags
• 6 bags
• 12 bags

Multiple Choice

Jenny goes to dance class every 6 days and karate class every 9 days.  If she did both today, in how many days will she do both again? 

• 18 days
• 24 days
• 36 days
• 54 days