Transcript Greatest Common Factor Least Common Multiple and Lowest Terms

Greatest Common Factor
Least Common Multiple
and
Lowest Terms
Example 1
find the GCF, LCM and lowest terms of
48 and 80
2 48 and 80
2 24 and 40
2 12 and 20
Step 1: set up your upside down division
Step 2: find a number that will divide
into both numbers
Step 3: divide
Step 4: repeat until you can’t find any
common numbers to divide by
2 6 and 10
3 and 5
GCF: multiply the
numbers on the
outside on the
left together
2 • 2 • 2 •2 = 16
LCM: multiply all of
the numbers on the
outside together
Lowest terms: look at
the bottom numbers only
to make your fraction
3
2 • 2 • 2 •2 • 3 • 5 = 240
5
Example 2
find the GCF, LCM and lowest terms of
208 and 112
2 208 and 112
2 104 and 56
2 52 and 28
Step 1: set up your upside down division
Step 2: find a number that will divide
into both numbers
Step 3: divide
Step 4: repeat until you can’t find any
common numbers to divide by
2 26 and 14
13 and 7
GCF: multiply the
numbers on the
outside on the
left together
2 • 2 • 2 •2 = 16
LCM: multiply all of
the numbers on the
outside together
Lowest terms: look at
the bottom numbers only
to make your fraction
13
6
=1
2 • 2 • 2 •2 • 7 • 13 = 1456
7
7
Example 1
find the GCF, LCM and lowest terms of
15 and 32
1 15 and 32
15 and 32
GCF: multiply the
numbers on the
outside on the
left together
1
Step 1: set up your upside down division
Step 2: find a number that will divide
into both numbers
Step 3: divide
Step 4: repeat until you can’t find any
common numbers to divide by
LCM: multiply all of
the numbers on the
outside together
1 • 15 • 32 = 480
Lowest terms: look at
the bottom numbers only
to make your fraction
15
32
Date _________
Greatest Common Factor
Least Common Multiple
and
Lowest Terms
Example 1
find the GCF, LCM and lowest terms of
48 and 80
48 and 80
GCF: multiply the
numbers on the
outside on the
left together
Step 1: set up your
Step 2: find a number that will ______
into both numbers
Step 3:
Step 4:
LCM: multiply all of
the numbers on the
outside together
Lowest terms: look at
the bottom numbers only
to make your fraction
Example 2
find the GCF, LCM and lowest terms of
208 and 112
208 and 112
104 and 56
52 and 28
26 and 14
Example 3
find the GCF, LCM and lowest terms of
15 and 32