GCF and LCM
GCF and LCM Word Problems
Dividing Fraction Word Problems
Dividing Two Fractions
Dividing Mixed Numbers
100
Find the GCF of 45 and 100
What is 5?
100
At Joe's Burger House, the buzzer for hamburgers rings every 5 minutes and buzzer for French fries rings every 3 minutes. From the moment that the buzzers ring at the same time, how many minutes will pass before the buzzers ring at the same time again?
What is 15 minutes?
100
A bag contains 2 5/8 pounds of candy. If the candy is equally distributed to six children, how many pounds of candy will each child receive?
What is 7/16 of a lb.?
100
1/2 ÷ 1/3
What is 3/2 or 1 1/2?
100
1 1/2 ÷ 2 3/4
What is 3/2 x 4/11 = 12/22 or 6/11?
200
Find the LCM of 2, 3, and 4
What is 12?
200
Felicia baked 12 oatmeal cookies and 16 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 containers does she need? How much of each cookie with be in each container?
What is 4 containers, and 3 oatmeal cookies, and 4 chocolate chip cookies in each?
200
An art teacher is pouring 74 and 2/3 ounces of paint into cups for her students to use. If each cup can hold a maximum of 4 ounces, how many cups do they need?
What is 19 cups?
200
3/4 ÷ 2/5
What is 15/8 or 1 7/8?
200
2 2/5 ÷ 1 3/7
What is 12/5 x 7/10 = 84/50 = 42/25 or 1 17/25?
300
Find the GCF of 26 and 65.
What is 13?
300
You have 16 yellow beads, 20 read beads, and 24 orange beads to make identical bracelets. What is the greatest number of bracelets that you can make using all the beads?
What is 4 bracelets?
300
Leo needs 1 and 2/3 yards of fabric to make a flag. If he has 31 and 1/4 yards of material, how many flags can he make?
What is 18 flags?
300
4/7 ÷ 2/3
What is 12/14 or 6/7?
300
What is 8/7 or 1 1/7?
400
Find the LCM of 6, 9, and 15.
What is 90?
400
What is the prime factorization of 16 and 40? What is the GCF? and what is the LCM?
What is 16: 2 * 2 * 2 * 2 and 40: 2 * 2 * 2 * 5, GCF is 8 and LCM is 80?
400
Caroline has a piece of wood that is 12 and 1/5 feet long. If she is cutting the wood into pieces of 1 and 1/2 pieces, what is the maximum number of pieces she can cut?
What is 8 pieces of 1 and 1/2 pieces of wood?
400
5/9 ÷ 1/2
What is 10/9 or 1 1/9?
400
2 5/8 ÷ 1 1/3
What is 21/8 x 3/4 = 63/32 or 1 31/32?
500
Find the LCM of 3, 36, and 78.
What is 468?
500
You and a friend are running on treadmills. You run 0.5 miles every 3 minutes, and your friend runs 2 miles every 14 minutes. You both start and stop running at the same time and run a whole number of miles. What are the least possible numbers of miles you and your friend can run?
What is you 7 miles and your friend 6 miles?
500
It takes Gaia 2 and 3/16 minutes to complete one lap around the track. If she has 40 minutes, how many full laps can she complete?
What is 18 full laps?
500
3/4 ÷ 7/8
What is 24/28 or 6/7?
500
3 1/3 ÷ 2 2/5
What is 10/3 x 5/12 = 50/36 = 25/18 or 1 7/8?