WorksheetsGCF and LCM
Total questions: 189
Worksheet time: 12hrs 44mins
Find the LCM of 12 and 15
Find the GCF of 100 and 125
Find the GCF of 90 and 120
30
60
15
45
Find the GCF of 60 and 75
15
5
10
20
Find the GCF of 45 and 60
15
5
10
20
Find the GCF of 80 and 120
40
20
10
30
Find the GCF of 36 and 48
12
6
18
24
Find the GCF of 18 and 24
2
6
12
18
Find the LCM of 8 and 10
20
30
40
80
Find the GCF of 21 and 28
1
7
14
21
Find the LCM of 5 and 7
12
24
35
70
Find the GCF of 16 and 24
2
4
8
16
Find the LCM of 18 and 24
36
42
72
48
Find the GCF of 80 and 100
20
10
30
40
Find the LCM of 8 and 12
24
36
48
96
Find the GCF of 45 and 60
15
5
30
20
Find the GCF of 18 and 27
3
9
6
18
Find the GCF of 27 and 36
3
9
12
18
Find the LCM of 12 and 15
30
60
90
120
Find the GCF of 18 and 27
3
6
9
18
Find the GCF of 35 and 70
35
5
10
20
Find the GCF of 100 and 150
50
25
10
30
Find the LCM of 18 and 24
36
42
72
90
Find the GCF of 36 and 48
6
12
18
24
Find the LCM of 15 and 25
75
50
100
125
Find the GCF of 36 and 48
12
6
18
24
Find the GCF of 24 and 36
6
12
18
24
Find the LCM of 15 and 25
75
100
125
150
Find the GCF of 36 and 48
6
12
18
24
Find the LCM of 15 and 25
75
100
125
150
Find the GCF of 45 and 60
15
30
5
20
Find the LCM of 6 and 8
12
24
48
72
Find the GCF of 50 and 75
5
10
15
25
Find the LCM of 15 and 25
75
50
100
125
Find the GCF of 45 and 60
5
15
10
20
Find the LCM of 9 and 15
45
30
60
90
Find the LCM of 12 and 18
36
72
54
90
Find the GCF of 36 and 48
12
24
6
18
Find the GCF of 45 and 60
5
10
15
20
Find the LCM of 12 and 20
40
60
80
100
Find the GCF of 80 and 120
20
40
60
80
Find the LCM of 18 and 24
36
72
108
144
18 ____________ a factor of 9.
is
is not
Which pair of numbers has a GCF of 10 AND a LCM of 60?
2 and 5
20 and 30
5 and 10
15 and 20
Which of these is a factor of 10?
2
4
20
6
Which is not a factor of 12?
3
6
24
4
Which of the following is a multiple of 7?
14
17
22
1
Which of the following is not a multiple of 9?
9
19
90
18
Which is the GCF of 4 and 12?
2
4
12
24
Which pair of numbers has a LCM of 20?
4 and 5
2 and 10
5 and 10
4 and 6
14 and 20
What is the GCF (Greatest Common Factor) of 12 and 6?
1
6
2
3
What is the GCF of 56 and 49?
14
2
8
7
The lights on a halloween decorations blink at different times. The ghost blinks every 7 seconds and the pumpkin blinks every 5 seconds. When will they blink at the same time?
15 seconds
20 seconds
12 seconds
35 seconds
30 sixth grade students and 36 seventh grade students go on a field trip. They need to be split up into even groups. What is the largest number of groups that can be made with the same number kids in each group?
2 groups
3 groups
6 groups
9 groups
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?
14 and 20
5 and 8
10 and 5
5 and 7
6 and 9
6 and 9
15 and 20
Hint-Remember to use your factor trees to help you.
Which of these is a factor of 10?
2
4
20
Which is not a factor of 12?
3
6
24
Which is the GCF of 4 and 12?
2
4
12
Bill cut out 6 squares and 8 circles. He divided the cutouts into groups so that the same number of squares and circles were in each group. What is the greatest number of groups he could have made?
2
3
4
Which of the following is a multiple of 7?
14
17
22
Which of the following is not a multiple of 9?
9
19
90
Every third visitor to a museum gets a free bumper sticker. Every fifth visitor to that museum gets a free key chain. Which visitor each day will be the first one to get both the bumper sticker and the key chain?
3rd
5th
15th
Gabriella volunteers at the hospital every 4th day. She volunteers at the food pantry every 6th day. She volunteered at the hospital and the food pantry both on March 31. On what date will she next volunteer at both?
April 12
April 16
May 1
Which pair of numbers has a GCF of 6?
3 and 18
6 and 12
12 and 24
Which pair of numbers has a LCM of 20?
4 and 5
2 and 10
5 and 10
6 _________ a multiple of 2.
is
is not
18 ____________ a factor of 9.
is
is not
Which pair of numbers has a GCF of 10 AND a LCM of 60?
2 and 5
20 and 30
5 and 10
15 and 20
A prime number is:
A number that is made only by multiplying 1 and itself.
An odd number.
A popular number.
The least common multiple of two numbers.
The greatest common factor of 10, 30, and 45 is (a) .
What is the greatest common factor of 28, 70, and 42?
14
7
28
6
Lisa is making identical flower arrangements for wedding reception. She has 32 white roses, 24 pink roses, and 16 bunches of babies breath. She wants each arrangement to have the same number of each flower. What is the greatest number of arrangements that she can make if every flower is used?
6
2
4
8
What is the greatest common factor of 15 and 36?
6
8
4
3
The Greatest Common Factor of two prime numbers is......
themselves
There are no common factors.
1
0
Which of these numbers is a multiple of 18?
2
6
35
54
What is the LCM of 2, 4, and 9?
18
36
27
40
John and Mitchell are both building a race track out of connecting pieces. John has pieces that are 20 inches long while Mitchell's pieces are 8 inches long. How long will the shortest track be that they can each build with the same length?
2 inches
40 inches
4 inches
20 inches
Tonya needs to buy red paper plates and napkins for a party. Plates are sold in packages of 10 and napkins are sold in packages of 14. What is the least number of plates and napkins that Tonya can buy so that there is the same amount of plates and napkins?
140
2
70
40
Jamie has 48 notebooks and 36 pencils. He wants to make packages to send to his cousins. Each package must have the same number of notebooks and pencils. What is the greatest number of packages that Jamie could make?
4
9
12
2
There are 9 cards in each box and 6 envelopes in each package. How many cards and envelopes will I have to buy so I am buying the same amount?
(a)
There are 9 cards in each box and 6 envelopes in each package. How many BOXES OF CARDS will I have to buy so I have the same amount of cards and envelopes?
(a)
There are 9 cards in each box and 6 envelopes in each package. How many PACKAGES OF ENVELOPES will I have to buy so I have the same amount of both?
(a)
List all the factors of 54, separated by commas.
(a)
Find the LCM of 18 and 24
48
36
72
432
Pencils come in packs of 8 and highlighters in packs of 12.
What is the least number of pencils and highlighters you need to buy for an equal amount?
4
48
24
A. What is the greatest number of groups you can make?
B. How many red and green legos will be in each group?
3: 3, 6, 9, ___, 15, 18, 21
7 14 22 28
Which one is incorrect?
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
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
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?
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?
What is the least common multiple of 16 and 24?
36
46
48
24
What is the least common multiple of 13 and 39?
52
39
45
24
What is the least common multiple of 18 and 24?
What is the least common multiple of 9 and 12?
What is the great common factor of 56 and 49?
14
2
8
7
What is the great common factor of 24 and 36?
What is the great common factor of 14 and 20?
What is the great common factor of 4 and 12?
2
4
12
Carlos has 36 tomato plants and 81 pepper plants to place in rows. Each row must have the same number of each plant and he must have no plants left over. What is the largest number of rows Carlos can make?
At most, he can make 6 rows.
At most, he can make 8 rows
At most, he can make 9 rows.
At most, he can make 12 rows.
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?
The Ferry's wheel at an amusement park runs every 30 minutes, and the roller coaster operates every 25 minutes. if the two rides are running now, how many hours will it take for them to be running together at the same time again?
50 minutes
75 minutes
125 minutes
150 minutes
Beginning at 8:30 AM, tours of the National Capitol and the White House begin at a tour agency. Tours for the National Capitol leave every 15 minutes. Tours for the White House leave every 20 minutes. How often do the tours leave at the same time?
Every 15 minutes
Every 30 minutes
Every 45 minutes
Every 60 minutes
The school cafeteria serves tacos every 6th day and cheeseburgers every 8th 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?
24 days
2 days
48 days
12 days
Determine whether the following statement about 14 and 60 is True or False.
The greatest common factor is 2.
True
False
Determine whether the following statement about 14 and 60 is True or False.
A common factor is 7.
True
False
Determine whether the following statement about 14 and 60 is True or False.
The least common multiple is 840.
True
False
Determine whether the following statement about 14 and 60 is True or False.
A common multiple is 420.
True
False
