The document provides examples and word problems involving finding the greatest common factor (GCF) and least common multiple (LCM) of two numbers. It gives the steps to solve GCF and LCM problems, including listing the factors of each number and finding the greatest factor they have in common or the smallest multiple they share. It then provides practice problems and asks students to identify whether they should use the GCF or LCM strategy to solve them.

1. Math 4-Q2 Week 3
Solves real-life problems involving
GCF and LCM of 2 given numbers.
M4NS-IId-70.1

2. Let’s Recall!
Solve and complete the table by supplying
the GCF and the LCM of the given sets of numbers.
NUMBERS GCF LCM
1. 5, 6
2. 9, 21
3. 21 30
4. 12 8
5. 24 40

3. Let’s read and analyze the word problem. After answer the
following questions.
A. Kiara baked 30 oatmeal cookies and 48 chocolate chip
cookies to package in plastic containers for her friends at
school. She wants to divide the cookies into identical
containers so that each container has the same number of
each kind of cookie. If she wants each container to have the
greatest number of cookies possible, how many plastic
containers does she need?
1. What does the problem ask for?
If she wants each container to have the greatest number of
cookies possible, how many plastic containers does she need?

4. A. Kiara baked 30 oatmeal cookies and 48 chocolate chip
cookies to package in plastic containers for her friends at
school. She wants to divide the cookies into identical
containers so that each container has the same number of
each kind of cookie. If she wants each container to have the
greatest number of cookies possible, how many plastic
containers does she need?
2. What facts are given?
30 oatmeal cookies and 48 chocolate chip cookies
3. How will you solve the problem?
By finding the GCF-Greatest Common Factor

5. 4.How is the solution done?
By listing factors
30 – 1, 2, 3, 5, 6, 10, 15, 30
48 – 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
5. What is the answer to the problem?
GCF = 6
Kiara needs 6 plastic containers for her cookies.

6. B. Boxes that are 12 inches tall are being stacked next to boxes
that are 18 inches tall. What is the shortest height at which the
two stacks will be the same height?
1. What does the problem ask for?
What is the shortest height at which the two stacks will be the
same height?

7. B. Boxes that are 12 inches tall are being stacked next to boxes
that are 18 inches tall. What is the shortest height at which the
two stacks will be the same height?
2. What facts are given?
12 inches tall are being stacked next to boxes that are 18 inches
tall.
3. How will you solve the problem?
By finding the LCM-Least Common Multiple

8. 4.How is the solution done?
By listing multiples
12 – 12, 24, 36
18 – 18, 36
5. What is the answer to the problem?
LCM = 36 The two stacks will be the same height at 36
inches.

9. Let’s Answer!
Read each questions and answer the questions that follow. Write your answer
in your paper.
1. The table below shows the number of students in the school choir. The choir
teacher plans to arrange the students in equal rows. Only girls or boys will be
in each row. What is the greatest number of students that could be in each
row?
a. What does the problem ask for?
b. What facts are given?
c. How will you solve the problem?
d. How is the solution done?
e. What is the answer in the problem?

10. 2. Mang Ando is going to put eggs in trays of 6 eggs and 12 eggs. What is the
smallest number of eggs that Mang Ando can put using the trays?
a. What does the problem ask for?
b. What facts are given?
c. How will you solve the problem?
d. How is the solution done?
e. What is the answer in the problem?

11. Let’s Apply!
Read each problem and write GCF (Greatest Common Factor) or LCM
(Least Common Multiple) in the box to show that you understand the
strategy it needs.
1. Joanne is campaigning for class president and plans to distribute some
campaign materials: 20 flyers and 16 buttons. She wants each classroom
to receive an identical set of campaign materials, without having any
materials left over. What is the greatest number of classrooms Joanne
can distribute materials to?
2. Serena wants to create snack bags for a trip she is going on. She has 6
granola bars and 10 pieces of dried fruit. If the snack bags should be
identical without any food left over, what is the greatest number of snack
bags Serena can make?

12. 3. Veronica is making emergency-preparedness kits to share with friends.
She has 20 bottles of water and 12 cans of food, which she would like
to distribute equally among the kits, with nothing left over. What is the
greatest number of kits Veronica can make?
3. Colton has 16 blue marbles and 8 white ones. If he wants to place them
in identical groups without any marbles left over, what is the greatest
number of groups Colton can make? 10.
3. This afternoon, Sara noticed that the number of the page assigned for
homework is divisible by both 12 and 2. What is the smallest possible
page number that could have been assigned?

13. Assessment!
Directions: Read and solve the problem involving greatest common
factors and least
common multiples.
•1. Jackson Stationery sells cards in packs of 11 and envelopes in packs
of 13. If Kina wants the same number of each, what is the minimum
number of cards thatshe will have to
buy?_____________________________
•2. Lavinia has 9 glasses and 6 mugs. She would like to set them out in
identical groups, with none left over, in preparation for a dinner party.
What is the greatest number of groups Lavinia can set out?
_____________________________

14. 3. Aylin is making a scrapbook using 18 photos and 20
newspaper clippings. She wants all the pages to be set up in
the same way, with the same combination of photos and
newspaper clippings on every page. She also wants to make
sure that no items are left over. What is the greatest number
of scrapbook pages that Aylin can create?
____________________________
4. Hay’s Linens sells hand towels in sets of 17 and bath towels
in sets of 6. If the store sold the same number of each this
morning, what is the smallest number of each type of towel
that the store must have sold?
______________________________