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A Greatest
Common Factor
(GCF)
is a number
that divides into two numbers.
You can use a GCF
to write a fraction in lowest terms.
For
example:
36/90
36 has factors
of
1x36, 2x18, 3x12, 4x9,
and 6x6;
so we say its factors are =
1, 2, 3,
4, 6, 9, 12, 18,
36
and
90 has factors of
1x90, 2x45, 3x30, 5x18,
6x15, and 9x10;
so we say its factors are =
1, 2, 3,
5, 6, 9, 10,
15, 18, 30, 45, 90
The factors of 36
and 90 that are the same are
highlighted in RED.
The Greatest Common Factor
of 36 and 90
is 18
You then would ÷ 36
by 18, and 90
by 18.
36 ÷ 18
= 2
90 ÷ 18 = 5
Having 36/90
reduce to 2/5
Do
You Get It ?
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A monkey ate 24 of 30 bananas.
What would be the fraction of bananas eaten in lowest terms?
GCF:
24 = 1x24, 2x12,
3x8, 4x6
30 = 1x30, 2x15,
3x10, 5x6
6 is the GCF
So,
24 ÷ 6 = 4
30 ÷ 6 = 5
Meaning: 24/30 reduces to 4/5
in lowest terms.
The monkey ate 4/5
of the bananas
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Upon further review:
To
find the Greatest Common factor
(GCF)
find all the ways to multiply
two numbers together to get to your first number.
Then do the same to get your second number..
The
factors that Match are your Common Factors,
The Common Factor that is the GREATEST
is your Greatest Common Factor (GCF)
Let's Practice
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