The GCF can be used to solve word problems that are looking for groups, sets, For example, in the following word problems they are looking for equal groups.
Kate has 32 roses and 48 tulips. She wants to make flower arrangements with the same number of each flower in each arrangement.
What is the largest number of arrangements can she make?
How many roses will be in each arrangement?
How many tulips will be in each arrangement?
Standards MGSE6.NS.4 b
Apply the greatest common factor of two whole numbers less than or equal to 12 to solve real-world problems.
Video Guide
00:00 Introduction GCF word problems
01:04 Problem 1 Kate has 32 roses and 48 tulips. She wants to make flower arrangements with the same number of each flower in each arrangement. What is the largest number of arrangements can she make?
04:17 Adam is making baseball card sets to sell. He has 12 Yankee cards and 32 Cub cards. How many sets can he make? How many Yankee cards will be in each set? How many Cub cards will be in each set?