Show:
Factors
Multiples
GCF
LCM
Story Problems
100
List the factors of 10.
1,2,5,10
100
List the first five multiples of 7.
7: 7, 14, 21, 28, 35...
100
Find the GCF of 5 and 8.
GCF = 1 (because they have nothing in common)
100
Find the LCM of 3 and 7.
LCM = 21
100
Sancho's bakery sells muffins in packages of 8 and cookies in packages of 12. The bakery sold the same number of muffins and cookies yesterday. What is the smallest number of cookies that the bakery could have sold?
24 Cookies (LCM of 8 and 12 is 24)
200
List the factors of 19.
1,19
200
List the first five multiples of 10.
10: 10, 20, 30, 40, 50...
200
Find the GCF of 10 and 25.
GCF = 5
200
Find the LCM of 4 and 9.
LCM = 36
200
Evan has two pieces of string, one 10 feet long and the other 20 feet long. For an art project, he wants to cut them up to produce pieces of string that are all of the same length, with no string left over. What is the greatest length, in feet, that he can make them?
10 feet (GCF of 10 and 20 is 10)
300
List the factors of 30.
1,2,3,5,6,10,15,30
300
List the first five multiples of 8.
8: 8, 16, 24, 32, 40...
300
Find the GCF of 12 and 18.
GCF = 6( because they have a 2 and a 3 in common, 2x3=6)
300
Find the LCM of 5 and 6.
LCM = 30
300
Layla is stocking bathrooms at the hotel where she works. She has 6 rolls of toilet paper and 12 soaps. If she wants all the bathrooms to be stocked with the same supplies in each on and nothing left over, what is the greatest number of bathrooms Layla can stock?
6 Bathrooms (GCF of 6 and 12 is 6)
400
List the factors of 65.
1,5,13,65
400
List the first five multiples of 14.
14: 14, 28, 42, 56, 70...
400
Find the GCF of 27 and 45.
GCF = 9 ( because they have two 3s in common, 3x3=9)
400
Find the LCM of 6 and 9.
LCM = 18
400
Wendy is buying two types of paper clips at a local office supply store. The first type comes in packages of 20, the second comes in packages of 16. If Wendy needs to purchase the same number of each type of paper clip, what is the smallest number of paperclips she must buy?
80 Paperclips (LCM of 16 and 20 is 80)
500
List the factors of 48.
1,2,3,4,6,8,12,16,24,48
500
List the first five multiples of 30.
30: 30, 60, 90, 120, 150...
500
Find the GCF of 24 and 60.
GCF = 12 ( because they have two 2s and a 3 in common, 2x2x3=12)
500
Find the LCM of 4 and 10.
LCM = 20
500
Addie is creating party favors with pencils and stickers. She has 8 pencils and 24 stickers, and wants each party favor to include the same combination of pencils and stickers, with none left over. What is the greatest number of party favors she can make?
8 Party Favors (GCF of 8 and 24 is 8)