GCF and LCM Problems

The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 cough drops. All the kits must have the same number of each supply, and all supplies must be used. What is the largest number of kits the nurse can make?

• The nurse can make 5 kits.

• The nurse can make 8 kits.

• The nurse can make 10 kits.

• The nurse can make 15 kits.

Steven cut out 6 squares and 8 circles. He divided the cutouts into groups so that the same number of squares and circles were in each group. What is the greatest number of groups he could have made?

• 2

• 3

• 4

What is the LCM of 14 and 42

• 7

• 14

• 42

• 2

What is the greatest common factor (GCF) of 18 and 24?

• 6

• 12

• 3

• 9

At the gym, Serenity swims every 6 days, runs every 4 days and cycles every 16 days. If she did all three activities today, in how many days will she do all three activities on the same day? (hint LCM)

• 16

• 24

• 48

• 32

Aiden is making emergency-preparedness kits to share with friends. She has 12 bottles of water and 16 cans of food, which she would like to distribute equally among the kits, with nothing left over. What is the greatest number of kits Mandy can make?

• GCF, 24 kits

• LCM, 4 kits

• GCF, 4 kits

• LCM, 24 kits

A bakery sells cookies in packs of 12 and packs of 18. What is the smallest number of cookies that can be bought to have an equal number of cookies in each pack?

• 36

• 42

• 30

• 24

The school is organizing a field trip for 24 students and a field trip for 36 students. If the students need to be divided into equal groups, what is the largest number of students that can be in each group?

• 10

• 6

• 12

• 8

Gustavo has just moved to a new town and wants to share plates of baked goods with his neighbors. He has 40 cookies and 15 brownies to share, and wants to split them equally among the plates with no food left over. What is the greatest number of plates he can make to share?

A choir class has 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. What is the greatest number of students that could be in each row?

• 24 students

• 192 students

• 8 students

• 16 students