Question 1191893: MAT 145: Topics In Contemporary Math
Use GCF or LCM to find each of the following.
1) In one college class, there are 28 students taking the class for a grade and 20 taking it
pass-fail. The instructor wants to assign groups for a project, and has two requirements:
every group should contain only students with the same grouping option, and all the
groups should have the same number of students. What’s the greatest number of students
they can place in each group?
Answer by CPhill(1987)   (Show Source):
You can put this solution on YOUR website! To find the greatest number of students the instructor can place in each group, we need to find the greatest common factor (GCF) of 28 and 20.
Here's how to find the GCF:
1. **List the factors of each number:**
* Factors of 28: 1, 2, 4, 7, 14, 28
* Factors of 20: 1, 2, 4, 5, 10, 20
2. **Identify the common factors:** 1, 2, 4
3. **The greatest common factor is 4.**
Therefore, the greatest number of students the instructor can place in each group is 4.
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