GFC and LCM

What is the Least Common Multiple of 12 and 15

• 60

• 3

• 120

• 180

What is the Greatest Common Factor of 30 and 54?

• 270

• 2

• 6

• 1,620

You have two pieces of string. One is 27 cm long. The other is 45 cm long. You want to cut each piece of string into smaller pieces of equal length. Each length is to be a whole number of centimeters. What is the greatest common length?

• 3cm

• 5cm

• 1cm

• 9 cm

Two faucets start dripping at the same time. One faucet drips once every 6 seconds. The other faucet drips once every 14 seconds. After how many seconds do the two faucets drip at the same time?

**Only enter the number**

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

Tags

TEKS.MATH.6.7A

Solve the following word problem: A garden has roses planted in rows of 12 and lilies planted in rows of 15. What is the least number of plants you can plant in each row so that there are only roses and lilies, and no plants are left over?

• 48

• 75

• 90

• 60

Apply prime factorization to find the GCF of 36 and 48.

• 24

• 12

• 6

• 18

A factory produces bicycles in batches of 24 and tricycles in batches of 36. What is the least number of bicycles and tricycles that can be produced in a batch so that there are no leftover parts?

• 84

• 72

• 60

• 48

Find the GCF of 54 and 72 using the prime factorization method.

• 6

• 8

• 10

• 12

Calculate the GCF of 80 and 120 by applying the prime factorization technique.

• 40

• 100

• 60

• 20