6/11 GCF/LCM Word Problems

Last updated about 1 year ago

16 questions

Joanne is campaigning for class president and plans to distribute some campaign materials:  20 flyers and 16 buttons.  She wants each room to receive an identical set of campaign materials, without having any materials left over. 

In this scenario, will Joanne be grouping her materials or creating more? _______ 

 What is the greatest number of classrooms Joanne can distribute materials to? _______ 

Serena wants to create snack bags for a trip she is going on. She has 6 granola bars and 10 pieces of dried fruit. If the snack bags should be identical without any food left over.

In this scenario, is Serena grouping her snack bags for the trip or is she creating more? _______ 

What is the greatest number of snack bags Serena can make?_______ 

Matthew goes hiking every 12 days and swimming every 6 days. He did both kinds of exercise today. 

In this scenario, is Matthew grouping his workout days or does he plan to hike and swim more? _______ 

How many days from now will he go both hiking and swimming again?_______ 

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. 

In this scenario is Mandy grouping her items or creating more? _______ 

What is the greatest number of kits Mandy can make? _______ 

Edeena is practicing dance moves for her new Tik Tok video.  She needs to do the Sprinkler move every 12 seconds and the Charlie Brown every 15 seconds

In this scenario, is Edeena grouping her dance moves or is she doing more? _______ 

After now many seconds will she need to do the Sprinkler and the Charlie Brown at the same time? _______ 

A club has 16 girls and 8 boys as members. The president wants to break the club into groups, with each group containing the same combination of girls and boys. The president also wants to make sure that no one is left out. 

In this scenario, is the president grouping the members or creating more?_______ 

What is the greatest number of groups the president can make?_______ 

Ariel is making flower arrangements. He has 7 roses and 14 daisies. Ariel wants to make all the arrangements identical and have no flowers left over.

In this scenario, is Ariel grouping her flowers or creating more?_______ 

What is the greatest number of flower arrangements that he can make?_______ 

Wilma is thinking of a number that is divisible by both 17 and 8. What is the smallest possible number that Wilma could be thinking of? _______ 

Wilma is thinking of the highest factor that 17 and 8 share.  What number is Wilma thinking of? _______ 

Sarah’s Shipping and Ryan’s Mail Services both ship packages. Sarah’s trucks will only carry loads of 18 packages. In contrast, Ryan’s trucks will only carry loads of 11 packages. 

In this scenario, are Sarah and Ryan grouping their 18 and 11 sized packages, or will they be carrying more loads? _______ 

If both businesses ended up shipping the same number of packages this morning, what is the minimum number of packages each must have shipped?_______ 

Nathan is stocking bathrooms at the hotel where he works. He has 18 rolls of toilet paper and 9 bars of soap. 

In this scenario is Nathan grouping his bathroom items or collecting more? _______ 

If he wants all bathrooms to be stocked identically, with the same combination of supplies in each one and nothing left over, what is the greatest combination of bathrooms Nathan can stock? _______ 

Tayli wishes to advertise her business, so she gives packs of 13 red flyers to every restaurant owner and sets of 20 blue flyers to every clothing store owner. 

In this scenario, is Tayli grouping the number of flyers or is she giving more sets throughout the day? _______ 

At the end of the day, Tayli realizes that she gave out the same number of red and blue flyers.What is the minimum number of flyers of each color she distributed? _______ 

Jackson Stationery sells cards in packs of 11 and envelopes in packs of 13. 

In this scenario, is Jackson Stationery grouping the envelopes they have or can they sell more?_______ 

If Kina wants the same number of each, what is the minimum number of cards that she will have to buy?_______ 

Lavinia has 9 glasses and 6 mugs. She would like to set them out in identical groups, with none left over, in preparation for a dinner party. 

In this sceario is Lavina grouping the cups she has or is she creating more? _______ 

What is the greatest number of groups Lavinia can set out? _______ 

Aylin is making a scrapbook using 18 photos and 20 newspaper clippings. She wants all the pages to be set up in the same way, with the same combination of photos and newspaper clippings on every page. She also wants to make sure that no items are left over. 

In this scenario is Aylin grouping her scrapbook materials or will she be creating more?_______ 

What is the greatest number of scrapbook pages that Aylin can create?_______ 

Hay’s Linens sells hand towels in sets of 15 and bath towels in sets of 6. 

In this scenario is Hay's Linen's grouping what they have, or can they create more?_______ 

If the store sold the same number of each this morning, what is the smallest number of each type of towel that the store must have sold?_______ 

(Teacher graded)

In preparation for a party, Brant is putting desserts onto platters. The chocolate cake is cut into 15 pieces and the cheesecake is cut into 6 pieces. If he wants to
prepare identical platters without having any cake left over, what is the greatest
number of platters he can prepare?

Write a short answer response and explain what strategy you will use to solve the problem.