3. REVIEW
Write all possible factors of the
following numbers
1. 8 : 1, 2, 4 ,8
2. 10 : 1, 2, 5, 10
3. 7 : 1, 7
4. 12 : 1, 2, 3, 4, 6, 12
5. 30: 1, 2, 3, 5, 6, 10, 15, 30
4. REVIEW
Write the first 5 multiples of the following
numbers
1. 6 : 6, 12, 18, 24, 30
2. 4: 4, 8, 12, 16, 20
3. 15: 15, 30, 45, 60, 75
4. 12: 12, 24, 36, 48, 60
5. 20 : 20, 40, 60, 80, 100
5. DEFINITION OF TERMS
GREATEST COMMON FACTOR
(GCF) - Highest number that
divides exactly all given numbers
LEAST COMMON MULTIPLE
(LCM)- Least natural number that
is a multiple of all given numbers
6. EXAMPLES
Find the GCF of the following numbers using the
Listing method and continuous division
1. 8 and 20
Listing Method
8 : 1, 2, 4, 8
20 : 1, 2, 4, 5, 10, 20
Common Factors: 1, 2, 4
Greatest Common Factor = 4
10. LEAST COMMON MULTIPLE
Find the LCM of the following numbers using Listing
Method and Continuous Division
1. 4 and 6
Listing Method
4: 4, 8, 12, 16, 20, 24, 28, 30 …
6: 6, 12, 18, 24, 30, 36, …
Common Multiples : 12, 24, 30
Least Common Multiple = 12
14. PROBLEM SOLVING
1. The principal of a school wishes to distribute 84
balls and 108 bats equally among a number of
boys. Find the greatest number of boys who will
receive the gift in this way.
Solution:
2 84 108
2 42 54
3 21 27
7 9
Answer: 2 x 2 x 3 = 12 boys
15. 2. Four bells ring simultaneously and afterwards at
intervals of 3, 4, 5 and 6 seconds, respectively. At
what interval will they all ring together?
Solution:
2 3 4 5 6
3 3 2 5 3
1 2 5 1
Answer : 2 x 3 x 1 x 2 x 5 x 1 = 60 seconds
16. PROPERTIES OF GCF AND LCM
The GCF of given numbers is not
greater than any of the given
numbers
The GCF of two relatively primes
is 1
The LCM of given numbers is not
less than any of the given
numbers
The LCM of two relatively primes
is equal to their product
17. PRACTICE
Find the GCF of the following numbers
using any method. Write your solution
and final answer on your notebook.
GCF LCM
1. 24 and 16 4. 4, 2 and 3
2. 100, 70 and 50 5. 10, 2 and 5
3. 84, 120, and 156 6. 2, 9 and 8
19. PRACTICE
Find the GCF of the following numbers using
any method. Write your solution and final
answer on your notebook.
GCF LCM
1. 24 and 16 = 8 4. 4, 2 and 3 = 12
2. 100, 70 and 50 = 10 5. 10, 2 and 5 = 10
3. 84, 120, and 156 = 12 6. 2, 9 and 8 = 72