GCF/LCM Quiz Review

Find the GCF of each set of numbers.

1. 28, 42 ______

2. 50, 40 ______

3. 14, 56, 63 ______

Find the LCM of each set of numbers.

4. 3, 5 ______

5. 8, 12 ______

6. 15, 6 ______

Use common factors to apply the distributive property

7. 24 + 78= ____ (____+____) =

8. 40 + 25 = ____ (____+____) =

Write the Prime Factorization of the following numbers. Write your answer in exponential notation on the line.

9. 63 ______

10. 144 ______

Solve the following problems:
11. Tim has a bag of 36 orange candies and Peter has a bag of 44 grape candies. They have to divide up the sweets into baggies with equal numbers of each candy. If there is no remainder, find the largest possible number baggies. ______

How many orange candies? ______

How many grape candies? ______
12. On a track for remote-controlled racing cars, racing car A completes the track in 28 seconds, while racing car B completes it in 24 seconds. If they both start at the same time, after how many seconds will they be side by side again? ______

13. Two wires with lengths of 448 cm and 616 cm are to be cut into pieces of all the same length without remainder. Find the greatest possible length of the pieces. ______

14. Janice and Jasmine were each given a piece of ribbon of equal length. Janice cuts her ribbons into equal lengths of 2 m, while Jasmine cuts her ribbons into equal lengths of 5 m. If there was no remainder in both cases, find the shortest possible length of ribbon given to them.
______

GCF/LCM Quiz Review

Find the GCF of each set of numbers.

1. 28, 42 ______

2. 50, 40 ______

3. 14, 56, 63 ______

Find the LCM of each set of numbers.

4. 3, 5 ______

5. 8, 12 ______

6. 15, 6 ______

Use common factors to apply the distributive property

7. 24 + 78= ____ (____+____) =

8. 40 + 25 = ____ (____+____) =

Write the Prime Factorization of the following numbers. Write your answer in exponential notation on the line.

9. 63 ______

10. 144 ______

Solve the following problems:
11. Tim has a bag of 36 orange candies and Peter has a bag of 44 grape candies. They have to divide up the sweets into baggies with equal numbers of each candy. If there is no remainder, find the largest possible number baggies. ______

How many orange candies? ______

How many grape candies? ______
12. On a track for remote-controlled racing cars, racing car A completes the track in 28 seconds, while racing car B completes it in 24 seconds. If they both start at the same time, after how many seconds will they be side by side again? ______

13. Two wires with lengths of 448 cm and 616 cm are to be cut into pieces of all the same length without remainder. Find the greatest possible length of the pieces. ______

14. Janice and Jasmine were each given a piece of ribbon of equal length. Janice cuts her ribbons into equal lengths of 2 m, while Jasmine cuts her ribbons into equal lengths of 5 m. If there was no remainder in both cases, find the shortest possible length of ribbon given to them.

______