GCF + LCM

Jazmin is completing an art project. She has two pieces of construction paper. The first piece is 44m wide and the second piece is 33cm wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible. How wide should Jazmin cut each strip?

Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 86 chocolate chip cookies and 42 sugar cookies. Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies. What is the greatest number of identical packages that Shaquira can make?

Miranda and Savannah are excited that a new store just opened in town! They go together the first day it opens! Each time Miranda goes to the store she plans to spend $7, and each time Savannah goes to the store she plans to spend $9.

A few weeks from now, Miranda and Savannah are surprised to find out that they have spent the exact same total amount of money at the store.

What is the least possible number of times that Miranda has been to the store?

Sam and Carlos are bowling with plastic pins in Sam's living room. Remarkably, Sam knocks down 8 pins on every bowl, and Carlos knocks down 9 pins on every bowl. At the end of the day, Sam and Carlos have knocked down the same total number of pins. What is the least number of total pins that Sam and Carlos could have each knocked down?

Sherman goes golfing every 6th day and Brad goes golfing every 7th day. If Sherman and Brad both went golfing today, how many days until they will go golfing on the same day again?

Ronald and Tim both did their laundry today. Ronald does laundry every 6 days and Tim does laundry every 9 days. How many days will it be until Ronald and Tim both do laundry on the same day again?

• 18 days

• 72 days

• 3 days

• 15 days

Rafaela is a physical education teacher and has 25 girls and 35 boys in her class. She wants to divide the class into teams of the same size, where each team has the same number of girls and the same number of boys. If Rafaela creates the greatest number of teams possible, how many boys will be on each team?

• 7 boys

• 5 boys

• 8 boys

• 10 boys

Tammy cut 20 pink roses and 8 white roses from the bushes in her back yard. If she wants to make some identical flower arrangements with no flowers left over, what is the greatest number of arrangements Tammy can make?

• 4

• 12

• 8

• 10

Garrett is creating snack bowls out of walnuts and cashews. He has 18 walnuts and 14 cashews, and he wants each bowl to have an identical number of walnuts and cashews, with no nuts left over. What is the greatest number of bowls Garrett can create?

• 2

• 7

• 9

• 4

Eli and Russell are fishermen who, by coincidence, caught the same number of fish this week. Eli caught fish in nets that hold 4 fish, while Russell caught fish in nets that hold 8 fish. What is the minimum number of fish each must have caught?

• 8

• 4

• 2

• 16