GCF
Find the GCF of 16 and 12
What is 4?
This is the LCM of 6 and 8
What is 24?
Beth is setting out some snacks for friends she is having over. She has 6 crackers and 18 slices of cheese. If she wants each plate to be identical, with no food left over, this is the greatest number of plates Beth can prepare
What is 6 plates?
Peter is buying hot dogs and hot dog buns for the family barbecue. Hot dogs come in packs of 12 and hot dog buns come in packs of 9.
The store does not sell parts of a pack and Peter wants the same number of hot dogs as hot dog buns.
What is 36
Phil has to put the greatest number of apples and oranges in each box so each box has the same number of apples and oranges. Phil is using this type of problem to find an answer
1. greatest common factor
2. the least common multiple
What is greatest common factor?
What is 14?
This is the LCM of 4 and 10
Larry has 15 blue marbles and 10 white ones. If he wants to place them in identical groups without any marbles left over, this is the greatest number of groups Larry can make.
What is 5?
What is 24 days?
This is NOT a multiple of 6, 12, and 18
36, 48, 108, 72
What is 48?
This is NOT a factor of 42.
14, 6, 48
What is 48?
This is the LCM of 4 and 15
What is 60?
There are 15 girls and 18 boys in a class. The teacher wants to make reading groups with the same number of girls and the same number of boys in each group. What is the greatest number of reading groups that can be made?
Matthew's Bath Shop sells bars of soap in boxes of 3 bars and bottles of soap in boxes of 9 bottles. An employee is surprised to discover that the shop sold the same number of bars and bottles last week. This is the smallest number of each type of soap that the shop could have sold.
What is 9 bars and bottles?
This is the way to express 15 +25 as the product of the GCF and another sum
What is 5 (3 + 5)?
What is 7?
This is the LCM of 4, 5, 7
What is 70?
A student expressed a sum of two whole numbers as 4(5?x 7). What were the two whole numbers?
What is 20 + 28?
Every seventh customer gets a free appetizer. Every third customer gets a free dessert. Which customer will be the first one to get both the calendar and the coupon?
What is the 21st customer?
Ryan has 28 cans of soda and 49 bottles of water. In preparation for the intermission of the school play, Ryan wants to set up identical refreshment tables, with no beverages left over. What is the greatest number of refreshment tables that he can set up?
What is 7 tables?
This is the GCF of 64, 96, and 192
What is 64?
Kailyn and Eddie ended up making the same number of cookies for a bake sale at school, even though Kailyn made them in batches of 7 biscuits and Eddie made them in batches of 11 biscuits. What is the smallest number of biscuits each must have baked?
What is 77 biscuits?
Rocco and his family have different types of taco shells on Taco Tuesday. He has 12 soft shell tacos and 16 hard shell tacos. This is how many plates can be made if each plate were to be identical.
What is 4 plates?
Claire volunteers at the dog shelter every 3rd day. She volunteers at the IC Parish office every 12th day. She volunteered at the dog shelter and the parish office both on March 31. On what date will she next volunteer at both?
What is April 12th?
Rosa is creating gift baskets with scented soaps and bottles of bubble bath. She has 18 scented soaps and 24 bottles of bubble bath. If she wants all the gift baskets identical without any items left over, what is the greatest number of gift baskets Rosa can make?
6 baskets