GCF and LCM Word Problems

Viridiana, a costume designer, has 36 bat buttons and 18 black cat buttons she must use to create costumes. What is the largest number of costumes she can make without having any buttons left over?

Landon has 60 peppermints and 90 candy corns. He wants to make packages of these candies to bring to his school to pass out to his classmates. What is the maximum number of packages he can make using all items?

Hot dogs come in packages of 12 and hot dog buns come in packages of 10. What is the least number of packages of each that Dominique can buy to be able to have a weenie roast with no buns or hot dogs left over?

Mariana can make groups of 3, 4, or 9 pumpkins with none left over. What is smallest number of pumpkins she must have to make these groups?

For football tryouts at Havenview Middle School, 12 coaches and 42 players will split into groups. Each group will have the same number of coaches and players. What is the greatest number of groups that can be formed?

The red line and blue line train both arrive at the train station. The red line train leaves every 8 minutes. The blue line train leaves every 10 minutes. When will they arrive at the train station at the same time?

Pizza is served every 4 days in the cafeteria. Cheeseburgers is served every 8 days. On what day will both pizza and cheeseburgers both be served in the cafeteria at the same time?

What is the least common multiple of 5 and 150?

What is the greatest common factor of 12 and 16?

Solve the following: During an event, a radio station gave a free t-shirt to every 8th customer and a free water bottle to every 10th customer. Which customer was the first to get a water bottle and a t-shirt?