Greatest Common Factor (GCF) and Least Common Multiple (LCM)

Eva and Agnes are packing candy bars. Eva packs 9 chocolate bars per box while Agnes packs 8 fruit bars per box. If they want to pack an equal number of bars, how many bars should each of them pack? How many boxes does Eva need to pack?

• 72 bars, 8 boxes

• 72 bars, 9 boxes

• 64 bars, 8 boxes

• 64 bars, 9 boxes

Ronald found 3 iron rods in his garage measuring 64 inches, 56 inches and 40 inches long. He wants to cut those iron rods obtaining the longest possible equal-length pieces without remainder in reconstructing his house gate. How long would each piece be?

• 4 inches

• 8 inches

• 16 inches

• 32 inches

It's Mothers’ Day. Allyn needs to arrange 48 roses, 54 carnations, and 30 sunflowers in bouquets. She can include only one type of flower per bouquet, and she must use the same number of flowers in each bouquet. What is the greatest number of flowers that can be packed in each bouquet?

• 2

• 3

• 6

• 12

The local government is distributing 49 lemon seedlings, 63 tomato seedlings, and 28 jackfruit seedlings equally among some aspiring fruit farmers. What is the greatest number of farmers who will be able to receive the same number of fruit seedlings?

• 7

• 14

• 21

• 28

Evelyn and Ofelia love gardening. Evelyn waters her plants every 3 days. Her neighbor Ofelia waters her plants every 5 days. If they both water their plants on July 1, what is the next date they will water their plants together?

• July 6

• July 10

• July 15

• July 20

Magellan has decided to make party baskets for the fundraiser. Balloons are sold in bags of 20, party horns are sold in bags of 10, and there are 8 candy bars in a package. How many of each should he buy so there are an equal number of balloons, horns, and candy bars in each basket?

• 5 bag of balloons, 4 bags of horns, 2 packages of candy bars

• 2 bags of balloons, 1 bag of horns, 3 packages of candy bars

• 4 bags of balloons, 2 bags of horns, 5 packages of candy bars

• 5 bags of balloons, 3 bags of horns, 4 packages of candy bars

A radio station is having a promotion in which every 12th caller receives a free concert ticket, and every 15th caller receives a limo ride. Which caller will be the first one to win both?

• 30th caller

• 60th caller

• 45th caller

• 75th caller

Cups are sold 5 to a package and plates are sold 10 to a package. If you want to have the same number of each item for a party, what is the least number of packages of each you need to buy?

• 1 package of cups and 2 packages of plates

• 2 packages of cups and 1 package of plates

• 2 packages of cups and 2 packages of plates

• 3 packages of cups and 3 packages of plates

Tony needs to ship 12 comedy DVDs, 24 animated DVDs, and 30 musical DVDs. He can pack only one type of DVD in each box, and he must pack the same number of DVDs in each box. What is the greatest number of DVDs Tony can pack in each box?

• 2

• 3

• 6

• 12

Mei has 15 oranges, 9 peaches and 18 pears. She wants to put all of the fruit into baskets with each basket having the same number of pieces of fruit in it. Without mixing the fruit, what is the greatest number of pieces of fruit Mei can put in each basket?

• 1

• 3

• 5

• 9