Notes 9/9/10 Prime Time Definitions Greatest Common Factor (GCF): The greatest factor that two (or...
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Transcript of Notes 9/9/10 Prime Time Definitions Greatest Common Factor (GCF): The greatest factor that two (or...
Notes 9/9/10 Prime Time Definitions
Greatest Common Factor (GCF): The greatest factor that two (or more!) numbers share. Ex: The GCF for 36 and 24 is 12.Least Common Multiple (LCM): The smallest number that is a multiple of two numbers. Ex: 12 is the LCM of 3 and 4.
Greatest Common Factor
1) Find the Prime Factorization 2) Put the results in a Venn Diagram3) The shared numbers go in the
shared space (middle) of the Venn Diagram
4) Multiply the shared number together = GCF
Factors of 56
What is the GCF for these two numbers? _______
Factors of 56
Factors of 28
The numb
ers that are the
same
Leftover
numbers
Leftover
numbers
Factors of 28
Factors of 56
What is the GCF for these two numbers? _______
Factors of 56
Factors of 28
GCF Practice
• Find the GCF for the following numbers (use a Venn Diagram)- 24 and 30
– 15 and 60
– 30 and 50
Least Common Multiple
• 1) Find the GCF• 2) Place the leftover numbers (ones
not shared) in the Venn Diagram.• 3) Multiply all numbers in the Venn
Diagram = LCM
LCM Practice
Leftover numbers go here
20 50
Leftover numbers go here
GCF
What is the LCM for these two numbers? _______
LCM Practice
• Find the LCM of these two numbers:
• 5 and 7
• 10 and 15
REAL LIFE PROBLEM SOLVING USING GCF AND
LCM• You have 27 Reese’s Cups and
66 M & M’s.
Including yourself, what is the greatest number of friends you can enjoy your candy with so that everyone gets the same amount?
REAL LIFE PROBLEM SOLVING USING GCF AND
LCMMolly’s uncle donated 100 cans of juice and
20 packs of cheese crackers for the school picnic. Each student is to receive the same
number of cans of juice and the same number of packs of crackers.
• What is the largest number of students that can come to the picnic and share the food equally?
• How many cans of juice and how many packs of crackers will each student receive?
REAL LIFE PROBLEM SOLVING USING GCF AND LCM
Mrs. McCrary and 23 of her students are planning to eat hot dogs at the upcoming
DMS picnic. Hot dogs come in packages of 12 and buns come in packages of 8.
• What is the smallest number of packs of dogs and the smallest number of packs of buns Mrs. McCrary can buy so that everyone INCLUDING HER can have the same number of hot dogs and there are no leftovers?
• How many dogs and buns does each person get?