GCF/LCM Word Problems
2 years ago
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• Question 1
30 seconds
Q. Sara 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
• Question 2
30 seconds
Q. 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
• Question 3
30 seconds
Q. 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
• Question 4
30 seconds
Q. 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
• Question 5
30 seconds
Q. 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
• Question 6
30 seconds
Q. 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
• Question 7
30 seconds
Q. 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
• Question 8
30 seconds
Q. 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
• Question 9
30 seconds
Q. 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
• Question 10
30 seconds
Q. 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
• Question 11
30 seconds
Q. 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
• Question 12
30 seconds
Q. Peter has 18 oranges and 27 pears. He wants to make fruit baskets with the same number of each fruit in each basket. How many PEARS will be in the greatest number of fruit baskets?
7
8
9
10
• Question 13
30 seconds
Q. 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 fruit baskets he can make?
1
2
3
4
• Question 14
30 seconds
Q. Jenny goes to  karate class every 12 days.and too the library every 18 days. On December 1st she went to both class and the library. On what date will she do both class and go to the library?
24 days
36 days
42 days
52 days
• Question 15
30 seconds
Q. 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
• Question 16
30 seconds
Q. Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?
55 minutes
25 minutes
60 minutes
75 minutes
• Question 17
30 seconds
Q. 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
• Question 18
30 seconds
Q. 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
8 seconds
• Question 19
30 seconds
Q. 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
• Question 20
30 seconds
Q. Melanie and Martin are both building a toy train track out of connecting pieces. Melanie has pieces that are 8 inches long while Martin's pieces are 20 inches long.  How long will the shortest track be that they can each build with the same length?