
Greatest Common Factor
Presentation
•
Mathematics
•
7th - 12th Grade
•
Medium
Standards-aligned
Rachel Rohan
Used 5+ times
FREE Resource
28 Slides • 11 Questions
1
Introduction Day
2
Bite-size lesson on GCF
Examples from Ms. Rohan
Questions for you
Accuracy counts; can improve :)
3
Poll
What do you think "GCF" stands for?
(Just a poll; cannot count against you)
Greatest Common Multiple
Least Common Denominator
Greatest Common Factor
Least Common Multiple
4
Factors = evenly "go into" the original number
5
6
You will need to pick all the factors of 16.
Do this by listing out all pairs of numbers that
multiply together to equal 16.
7
Fill in the Blanks
LIST ALL the factors of 8 from least to greatest.
Type answer...
8
9
Fill in the Blanks
LIST ALL the factors of 18 from least to greatest.
Type answer...
10
11
Fill in the Blanks
LIST all of the factors of 12 from least to greatest.
Type answer...
12
13
Fill in the Blanks
LIST all of the factors of 16 from least to greatest (don't list repeats)
Type answer...
14
15
GREATEST COMMON FACTOR
16
You're about to see a 1 minute Youtube video
You can use headphones or just watch :)
It is completely possible to understand without hearing.
17
18
1. List the factors of each
2. Find the greatest one they have in common
19
You'll have three problems to find the Greatest Common Factor (GCF).
Make sure you choose the greatest common factor...
not just any common factor!
20
Multiple Choice
Select the GCF of 12 and 16.
2
4
6
8
21
12's factors are: 1, 2, 3 ,4, 6, 12
16's factors are: 1, 2, 4, 8, 16
The greatest factor they have in common is 4!
22
Multiple Choice
Select the GCF of 8 and 16.
2
4
6
8
23
8's factors are: 1, 2, 4, 8
16's factors are: 1, 2, 4, 8, 16
The greatest factor they have in common is 8!
24
But still find the same way:
1. List all the factors of each number
2. Find the greatest one in common
25
Multiple Choice
Select the GCF of 5 and 6.
1
2
5
6
26
5's factors are: 1, 5
6's factors are: 1, 2, 3, 6
The greatest factor they have in common is just 1.
*Some people just say there is no significant GCF, when it's just 1*
27
You are nailing it! Keep it up!
We are going to increase the challenge a bit!
28
We'll need to know how to find GCF of variables, too!
29
The greatest amount/exponent that each variable has in common (without going over!)
Let's see an example...
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You'll find the GCF of between variable terms
33
Multiple Choice
What is the GCF of
x4 and x9 ?x1
x4
x9
none
34
35
Multiple Choice
What is the GCF of
x6 and x9 ?x1
x3
x6
x9
36
37
Multiple Choice
What is the GCF of
x and x3 ?x
x3
x4
none
38
39
Thank you for participating!
Be sure to try again to improve your score
for daily grade credit and to improve your understanding.
Introduction Day
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