Activity 1. Solve each word problem by finding the GCF or LCM

1. Fruits are sold in trays of 8 and 6. What is the smallest number of fruits that can be sold using the trays?




2. This afternoon, Sara noticed that the number of the page assigned for homework is divisible by both 12 and 2. What is the smallest possible page number that could have been assigned?



3. There is a stack of rectangular tiles, with each tile having the length of 20cm and a width of 30cm. if some of these tiles are arranged into a square, what is the smallest side length the square can have?





4. Aleah is making emergency-preparedness kits to share with friends. She has 20 bottles of water and 12 cans of food, which she would like to distribute equally among the kits, with nothing left over. What is the greatest number of kits Aleah can make?




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






6. Vincent has 12 jars of grape jam, and 16 jars of strawberry jam. He wants to place the jam into the greatest possible number of boxes so that each box has the same number of jars of each kind of jam. How many boxes does he need?





7. Wendy goes to the park every 4 days and Susan goes to the park every 5 days. What day will they meet up at the park at the same time?





8. Daisy can run one lap around a track in 4 minutes. Mandy can run one lap in 6 minutes. If they start running at the same time, how long will it be until they complete a lap together?





9. Ana and Miguel ended up making the same number of biscuits for a bake sale at school, even though Ana made them in batches of 9 biscuits and Miguel made them in batches of 18 biscuits. What is the smallest number of biscuits each must have baked?





10. Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height?