Common Factors
Common Multiples
GCF
LCM
Word Problems
100
Identify ALL the common factors of 11 and 44
1, 11
100
Identify the first 3 common multiples of 7 and 14
14, 28, 42
100
Find the GCF of 48 and 60
GCF = 12
100
Find the LCM of 3 and 4
LCM = 12
100
Jenna has 36 red jelly beans, 48 blue jelly beans and 72 yellow jelly beans. She wants to divide them equally among her friends at the lunch table. What is the greatest number Jenna can use to divide her jelly beans evenly?
Find the GCF. GCF = 12. Jenna should divide her jelly beans by 12.
200
Identify ALL the common factors of 12, 21, and 30
1, 3
200
Identify the first 3 common multiples of 2, 8, and 12
24, 48, 72
200
Find the GCF of 30 and 72
GCF=6
200
Find the LCM of 7 and 9
LCM = 63
200
A local radio station is having a contest in which every 12th caller receives a recently released CD and every 20th caller receives four free tickets to an upcoming concert. Which caller will be the first to receive both prizes?
Find the LCM. LCM of 12 and 20 is 60, so the 60th caller will receive both prizes.
300
Identify ALL the common factors of 20 and 40
1, 2, 4, 5, 10, 20
300
Identify the first 3 common multiples of 3, 9, and 18
18, 36, 54
300
Find the GCF of 14, 35, and 84
GCF = 7
300
Find the LCM of 16 and 20
LCM = 80
300
Hamburger buns are sold in packages of 8. Hamburgers patties are sold in packages of 6. If Logan wants to have enough to serve exactly 24 people, how many packages of hamburger buns and hamburger patties must she purchase?
You need to find the LCM of 8 and 6, which is 24. Then multiply 8 by 3 an 6 by 4--you need 3 packages of buns, and 4 packages of burgers.
400
Identify ALL the common factors of 32 and 80
1, 2, 4, 8, 16
400
Identify the first 3 multiples of 3 and 8
24, 48, 72
400
Find the GCF of 64, 72, 37
GCF = 1
400
Find the LCM of 15, 25, and 75
LCM = 75
400
The SMS Spirit Club marks every 4th locker with a white star, every 6th locker with a maroon star, and every 9th locker with a stallion. These lockers are all side by side and numbered 1 – 50. What locker will be the first to have all three, a white star, a maroon star, and a stallion?
You need to find the LCM of 4, 6, and 9. LCM= 36 so locker #36 will be the first to have all 3.
500
What is a factor?
A factor is a whole number that goes into another number evenly without a remainder.
500
What is a multiple?
A multiple of a number is the product of the number and any whole number. (8x1, 8x2, 8x3...)
500
Find the GCF of 12, 30, and 72
GCF= 6
500
Find the LCM of 9, 12, and 15
LCM = 180
500
Coach Sotelo's gym class has 12 boys and 18 girls. He wants to divide the class into equal teams so that each team has the same number of girls and same number of boys. What is the greatest number of teams he can create? How many girls will be on each team? How many boys will be on each team?
You have to find the GCF of 12 and 18, which is 6. Then you have to divide 12 boys by 6 = 2 boys, and 18 girls by 6= 3 girls. There will be 2 boys and 3 girls on each team.
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