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GCF NOTES.notebook
September 11, 2014
GREATEST COMMON FACTOR (GCF)
_______________ ______________ ________________ (GCF) ­ the greatest factor of two or more given numbersÍž this means you have to find the biggest number which goes into the given numbers evenly.
* There may be a few common factors, but there can only be one GCF.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Let's find the GCF of 24 & 36
Method #1 ­ Use the "sled" method.
Step 1: Put both number in the "sled." Start by seeing what number will go into BOTH numbers. If both numbers are even, "2" is a good starting point. Continue asking yourslef what numbers will go into BOTH numbers.
24 36
Step 2: Continue dividing until you can't divide both number by a common factor.
Step 3: Circle the factors which went into both numbers ­ these are the common to both 24 & 36.
Step 4: Multiply the circled numbers to get the GCF
GCF = ____ x ____ x ____ = ____
This means "____" is the largest number which will go into both 24 and 36!
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GCF NOTES.notebook
September 11, 2014
Another method for finding the GCF
It is easier to miss a factor this way, so I recommend using method #1!
METHOD #2: Find the factors for both numbers and then locate the greatest number which is a factor of both numbers. Pick a way to find factor pairs (refer to the "Factors" notes if needed).
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Step 1: Find the factor pairs (use any of the three methods).
24 36
Step 2: Locate (circle) the greatest number which is a factor for BOTH numbers.
GCF = ____
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GCF NOTES.notebook
September 11, 2014
GCF EXAMPLES
1) Find the GCF of 16 & 80 using both methods.
SLED
FACTOR PAIRS
2) Find the GCF of 15 & 32.
SLED
FACTOR PAIRS
3) Find the GCF of 36 & 54.
SLED
FACTOR PAIRS
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GCF NOTES.notebook
September 11, 2014
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