Word Problems-GCF/LCM

Front

At the gym, Hillary swims every 6 days, runs every 4 days and cycles every 16 days. If she did all three activities today, in how many days will she do all three activities on the same day? (hint LCM)

Back

48

Front

Oscar needs to ship 14 rocks CDs, 12 classical CDs, and 8 pop CDs. He can pack only one type of CD in each box and he must pack the same number of CDs in each box. What is the greatest number of CDs Oscar can pack in each box?

Back

2

Front

What is the greatest number of plants I can put in one row if I plant 45 sunflower plants, 81 corn plants, and 63 tomato plants, with the same number of plants in each row and each row having only one type of plant?

Back

9

Front

Cups are sold 6 to a package and plates are sold 8 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?

Back

24

Front

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?

Back

6

Front

Joanne is campaigning for class president and plans to distribute some campaign materials: 20 flyers and 16 buttons. She wants each classroom to receive an identical set of campaign materials, without having any materials left over. What is the greatest number of classrooms Joanne can distribute materials to?

Back

4 classrooms

Front

Matthew goes hiking every 2 days and swimming every 6 days. He did both kinds of exercise today. How many days from now will he go both hiking and swimming again?

Back

12 days

Front

Mandy is making emergency-preparedness kits to share with friends. She has 12 bottles of water and 16 cans of food, which she would like to distribute equally among the kits, with nothing left over. What is the greatest number of kits Mandy can make?

Back

GCF, 4 kits

Front

Edeena is packing equal numbers of apple slices and grapes for snacks. Edeena bags the apple slices in groups of 18 and the grapes in groups of 9. What is the smallest number of grapes that she can pack?

Back

LCM, 18 grapes

Front

Ariel is making flower arrangements. He has 7 roses and 14 daisies. If Ariel wants to make all the arrangements identical and have no flowers left over, what is the greatest number of flower arrangements that he can make?

Back

GCF, 7 arrangements