Glencoe Lesson GCF and LCM

Greatest Common Factor & Least Common Factor

GCF & LCM

Multiple Choice

What is the GCF (Greatest Common Factor) of 25 and 15?

• 5

• 10

• 15

• 20

Multiple Choice

Find the GCF (Greatest Common Factor) of 64 and 144.

• 8

• 6

• 16

• 2

Multiple Choice

What is the GCF (Greatest Common Factor) of 12 and 30?

• 4

• 2

• 5

• 6

Multiple Choice

Find the GCF (Greatest Common Factor) of 50 and 40.

• 5

• 2

• 10

• 8

Multiple Choice

What is the LCM (Least Common Multiple) of 8 and 5?

• 50

• 40

• 5

• 8

Multiple Choice

Find the LCM (Least Common Multiple) of 18 and 24.

• 6

• 72

• 24

• 5

Multiple Choice

What is the GCF (Greatest Common Factor) of 12 and 6?

• 1

• 6

• 2

• 3

Multiple Choice

What is the LCM (Least Common Multiple) of 4 and 10?

• 4

• 40

• 15

• 20

Multiple Choice

What is the LCM (Least Common Multiple) of 8 and 12?

• 48

• 24

• 76

• 96

Multiple Choice

Find the LCM (Least Common Multiple) of 3 and 5.

• 15

• 20

• 30

• 33

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

Two neon signs are turned on at the same time. Both signs blink as they are turned on. One sign blinks every 9 seconds. The other sign blinks every 15 seconds. In how many seconds will they blink together again?

• 48 seconds
• 45 seconds
• 16 seconds
• 3  seconds

Multiple Choice

The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?

• 14 days

• 24 days

• 34 days

• 44 days

Multiple Choice

Eason 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

A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller.  Which caller will be the first to win both prizes?

• 5
• 2
• 10
• 120

Multiple Choice

Avery gets newsletters by e-mail. He gets one for sports every 5 days, one for model railroads every 10 days, and one for music every 8 days. If he got all three today, how many more days will it be until he gets all three newsletters on the same day again? 

• 80 days
• 40 days
• 50 days
• 60 days

Multiple Choice

A store is organizing toys into bins. The toys must be put into bins so that each bin contains the same number of toys without mixing the toys.
5. What is the greatest number of toys that can be put in a bin?
              Toys to Place in Bins
    Toy                              Number of Toys
Anemones                            12
Limpets                                 14
Snails                                    18

• 5 bins for anemones, 7 bins for limpets, and 9 bins for Snails
• 5 bins for anemones, 6 bins for limpets, and 8 bins for Snails
• 6 bins for anemones, 7 bins for limpets, and 9 bins for Snails
• 7 bins for anemones, 8 bins for limpets, and 10 bins for Snails

Multiple Choice

A store is organizing toys into bins. The toys must be put into bins so that each bin contains the same number of toys without mixing the toys.
 What is the greatest number of toys that can be put in a bin?
               Toys to Place in Bins
      Toy                              Number of Toys
Anemones                            12
Limpets                                 14
Snails                                    18

• 1 of each toy 
• 2 of each toy 
• 3 of each toy 
• 4 of each toy