Name_
Date
Math6H Per,
ID#
Greatest Common Factor
Least Common Multiple
Word Problems
1. A math teacher and a science teacher combine their first period classes for a
group activity. The math class has 24 students and the science class has 16 students.
The students need to divide themselves into groups of the same size. Each group
must have the same number of math students.
Find the greatest number of groups possible.
2. A photography club is practicing developing techniques. One set of negatives
contains 32 negatives and another contains 28 negatives. Each set can be divided
equally among the members present.
List all the possible numbers of members present. What is the greatest possible
number?
3. Organizers for a middle school culmination have set up chairs in two sections. They
put 126 chairs for graduates in the front section and 588 chairs for guests in the
back section.
If all rows have the same number of chairs, what is the greatest number of chairs
possible?
4. A quality control inspector in an egg factory checks every 36th egg for cracks and
every 42nd egg for weight.
What is the number of the first egg each day that the inspector checks for both
qualities? (Hint: think this will be the least number....)
5. The manager at Frank's Snack Shack buys hot dogs in packages of 30. He buys hot
dog buns in packages of 24. Unfortunately, he cannot buy part of a package.
What is the least number of packages of each product he can buy to have an equal
number of hot dogs and hot dog buns? (Careful: What is the question asKing for??)