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02Understand and Identify Common Factors and the Greatest Common Factor Unit
101-B4-1 101-B4-2
The GCF of Three Numbers 6 12 18 The LCM and The GCF
1. Find the GCF of the three numbers.
b. 14 21 42 1. A pair of numbers is given in . Write the GCF of each pair in ,
Example 6
Divide by the common factors and the LCM in .
of the three numbers. The GCF:
d. Then solve the multiplication problem.
The GCF:
a. 15 45 60 20 50 80 Example a.
The GCF: LCM of 18 and 30
15 f.
3 12 15
The GCF: 12 24 48
The GCF: 18 30
c.
6 18 36 GCF 18 and 30 12 15
18 30 LCM GCF
The GCF: LCM GCF c.
e. b.
18 24
16 32 40 15 20
The GCF: 15 20 18 24
LCM GCF LCM GCF
Objective Determine the greatest common Objective Learn the relationship between
factor of three numbers. greatest common factors and
least common multiples.
Textbook Reference Activity 2
Textbook Reference Activity 3
101-B5-1 101-B5-2
Applications of GCF 2. Answer the following questions.
Example
1. Solve each word problem.
12 and 16 can be divided by numbers without leaving a remainder. Find the
Example greatest number that can divide both 12 and 16 without leaving a remainder.
There are 12 apples and 8 oranges. If you were to place the apples and oranges on
the plates and divide them as equally as possible, without any leftovers, how many
plates would you need? What is the greatest number of plates that the apples and
oranges can be equally divided onto? Use the table below to solve the problems.
Number of Plates 1 2 3 4 5 6
Number of Apples 12 6 X
on Each Plate 8
Number of Oranges
on Each Plate
a. There are 24 pencils and 56 erasers. You want to equally divide the pencils a. 24 and 36 can be divided by numbers without leaving a remainder.
and erasers among the greatest number of people. Among how many people Find the greatest number that can divide both 24 and 36 without leaving a
can the pencils and erasers be equally divided? remainder.
b. There are 32 cartons of milk and 40 slices of bread. You want to equally divide b. 27 and 45 can be divided by numbers without leaving a remainder.
the cartons of milk and bread among the greatest number of people. Among Find the greatest number that can divide both 27 and 45 without leaving a
how many people can the milk and bread be equally divided? remainder.
Objective Solve the word problems. Objective Solve the word problems.
Textbook Reference Activity 1 Textbook Reference Activity 1
6A Unit 02 027
101-B4-1 101-B4-2
The GCF of Three Numbers 6 12 18 The LCM and The GCF
1. Find the GCF of the three numbers.
b. 14 21 42 1. A pair of numbers is given in . Write the GCF of each pair in ,
Example 6
Divide by the common factors and the LCM in .
of the three numbers. The GCF:
d. Then solve the multiplication problem.
The GCF:
a. 15 45 60 20 50 80 Example a.
The GCF: LCM of 18 and 30
15 f.
3 12 15
The GCF: 12 24 48
The GCF: 18 30
c.
6 18 36 GCF 18 and 30 12 15
18 30 LCM GCF
The GCF: LCM GCF c.
e. b.
18 24
16 32 40 15 20
The GCF: 15 20 18 24
LCM GCF LCM GCF
Objective Determine the greatest common Objective Learn the relationship between
factor of three numbers. greatest common factors and
least common multiples.
Textbook Reference Activity 2
Textbook Reference Activity 3
101-B5-1 101-B5-2
Applications of GCF 2. Answer the following questions.
Example
1. Solve each word problem.
12 and 16 can be divided by numbers without leaving a remainder. Find the
Example greatest number that can divide both 12 and 16 without leaving a remainder.
There are 12 apples and 8 oranges. If you were to place the apples and oranges on
the plates and divide them as equally as possible, without any leftovers, how many
plates would you need? What is the greatest number of plates that the apples and
oranges can be equally divided onto? Use the table below to solve the problems.
Number of Plates 1 2 3 4 5 6
Number of Apples 12 6 X
on Each Plate 8
Number of Oranges
on Each Plate
a. There are 24 pencils and 56 erasers. You want to equally divide the pencils a. 24 and 36 can be divided by numbers without leaving a remainder.
and erasers among the greatest number of people. Among how many people Find the greatest number that can divide both 24 and 36 without leaving a
can the pencils and erasers be equally divided? remainder.
b. There are 32 cartons of milk and 40 slices of bread. You want to equally divide b. 27 and 45 can be divided by numbers without leaving a remainder.
the cartons of milk and bread among the greatest number of people. Among Find the greatest number that can divide both 27 and 45 without leaving a
how many people can the milk and bread be equally divided? remainder.
Objective Solve the word problems. Objective Solve the word problems.
Textbook Reference Activity 1 Textbook Reference Activity 1
6A Unit 02 027
