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Worksheets

GCF/LCM

Total questions: 36

Worksheet time: 18mins

Name
Class
Date
1.

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?

a)

4

b)

2

c)

48

d)

8

2.

At a store. markers are sold in packages of 12 and pens are sold in packages of 8. What is the least number of markers and pens Rick needs to buy to have an equal number of markers and pens?

Is this questions asking to find GCF or LCM?

a)

GCF

b)

LCM

3.

List all the factors of 12

a)

1, 2, 3, 4, 6, 12

b)

1, 2, 4, 12

c)

1, 12

d)

1, 2, 3, 4, 5, 6, 12

4.

Paula has 54 stickers and 36 pencils that she wants to put in bags.

- All the bags will have an equal number of stickers.

- All the bags will have an equal number of pencils.

What is the greatest number of bags she can make and have no stickers and pencils left over?

Is this question asking to find GCF or LCM?

a)

GCF

b)

LCM

5.

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?

a)

55 minutes

b)

25 minutes

c)

60 minutes

d)

75 minutes

6.

Lisa is making a 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?

a)

2

b)

12

c)

36

d)

6

7.

What are the factors of 25?

a)

1, 2, 3, 5, 10, 15, 25

b)

1, 5, 25

c)

1, 25

d)

1, 5

8.

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 use?

a)

48

b)

2

c)

4

d)

16

9.

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?

a)

9

b)

2

c)

18

d)

72

10.

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?

a)

6

b)

2

c)

4

d)

8

11.

Shania helped serve dinner. They had 9 slices of roast beef, 15 small potatoes, and salad. She put the same amount on each plate. There was no food left over. How many plates did Shania serve?

Is this question asking to find GCF or LCM?

a)

GCF

b)

LCM

12.

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?

a)

16th customer

b)

150th customer

c)

300th customer

d)

180th customer

13.

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?

a)

1

b)

2

c)

3

d)

4

14.

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?

a)

7

b)

8

c)

9

d)

10

15.

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 12 minutes. How much time will pass until they meet at the starting line?

a)

84 minutes

b)

48 minutes

c)

854 minutes

d)

78 minutes

16.

At the first baseball game of the season, every 6th person entering the ballpark received a coupon for a free hot fog. Every 10th person received a coupon for a free soft drink. What is the number of the first person to enter the ballpark that received a coupon for a free hot fog and a coupon for a free soft drink?

Is this question asking to find GCF or LCM?

a)

GCF

b)

LCM

17.

Find the GCF of 64 and 144

a)

8

b)

6

c)

16

d)

2

18.

Find the LCM of 42 and 66

a)

2772

b)

6

c)

462

d)

132

19.

Find the LCM of 18 and 24

a)

6

b)

72

c)

24

d)

5

20.

What is the least common multiple of 4 and 10?

a)

4

b)

40

c)

15

d)

20

21.

Find the GCF of 12 and 6

a)

1

b)

6

c)

2

d)

3

22.

Which is NOT a factor of 9?

a)

0

b)

1

c)

3

d)

9

23.

Examples of prime numbers are...

a)

2, 3, 5, 7

b)

2, 3, 4, 5

c)

4, 6, 8, 10

24.

Examples of composite numbers are...

a)

2, 3, 5, 7

b)

5, 7, 11, 13

c)

4, 6, 8, 10

25.

Pencils come in packs of 8 and highlighters in packs of 12.

A. What is the least number of pencils and highlighters you need to buy for an equal amount?

B. What is the least number of packages you need to buy to have an equal amount of pencils and highlighters?

a)

A. 4

B. 2 pencil and 3 highlighter

b)

A. 48

B. 6 pencil and 4 highlighter

c)

A. 24

B. 3 pencil and 2 highlighter

26.

You have 18 red legos and 24 green legos. You need to combine them into groups of the same size with the same number of red and green legos in each group.

A. What is the greatest number of groups you can make?

B. How many red and green legos will be in each group?

a)

A. 6 groups

B. 3 red and 4 green

b)

A. 72 groups

B. 6 red and 3 green

c)

A. 3 groups

B. 6 red and 8 green

27.

An art project requires rows with the same number of discs and same amount of red and blue discs in each row. You have 40 red discs and 24 blue discs.

A. What is the greatest number of discs you could put in each row?

B. How many red discs and blue discs will be in each row?

a)

A. 120 discs

B. 3 red and 5 blue

b)

A. 8 discs

B. 5 red and 3 blue

c)

A. 4 discs

B. 10 red and 6 blue

28.

A store is organizing toys into bins. The toys must be put into bins so that each bin contains the same number of toys without mixing the toys. What is the greatest number of toys that can be put in the bin?

Anemones - 12

Limpets - 14

Snails - 18

a)

1 of each toy

b)

2 of each toy

c)

3 of each toy

d)

4 of each toy

29.

A store is organizing toys into bins. The toys must be put into bins so that each bin so that each bin contains the same number of toys without mixing the toys.

What is the greatest number of toys that can be put in a bin?

Anemones - 12

Limpets - 14

Snails - 18

a)

5 bins for anemones, 7 bins for limpets, and 9 bins for snails

b)

5 bins for anemones, 6 bins for limpets, and 9 bins for snails

c)

6 bins of anemones, 7 bins for limpets, and 9 bins for snails

d)

7 bins of anemones, 8 bins for limpets, and 10 bins for snails

30.

Find the GCF of the set of numbers.

14, 56, 63

a)

9

b)

4

c)

7

d)

8

31.

Find the GCF of the set of numbers.

28, 42, 56

a)

14

b)

4

c)

7

d)

8

32.

A radio station is giving away a $100 bill to every 30th classer and movie tickets to every 40th caller. Which caller will be the first to win both prizes?

a)

5

b)

2

c)

10

d)

120

33.

Find the GCF of 64 and 144

a)

8

b)

6

c)

16

d)

2

34.

Using a factor tree, find the prime factorization of 48 in expanded form.

a)

2 x 12 x 12

b)

2 x 2 x 2 x 2 x 3 x 3 x 5

c)

2 x 2 x 2 x 2 x 3

d)

7 x 7 x 7

35.

Karen has 30 photos from a trip to Dallas and 48 photos from a trip to Austin. She wants to put all the photos in an album so that the photos from each trip are in separate sections. What is the greatest number of photos she can put on each page?

a)

18 photos

b)

6 photos

c)

240 photos

36.

What is the prime factorization of 24?

a)

3 x 8

b)

3 x 2 x 2 x 2

c)

4 x 6

d)

2 x 2 x 3