Greatest Common Factor and Least Common Multiples GCF and LCM.

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Presentation transcript:

Greatest Common Factor and Least Common Multiples GCF and LCM

What is the difference between a factor and a multiple?

Factor: An integer that divides evenly (no remainder) into a number Factors of 6 are: 1, 2, 3, 6

Multiple: The product of a number and any natural number Some multiples of 6: 6, 12, 18, 24……

Give me an example of a factor of 15

Give me an example of a multiple of 15

How would you find the GCF of 60 and 96?

You simply write out all the factors for each number. Then find the greatest number. I like to circle the numbers by using columns.

List the factors of 60: 1,2,3,4,5,6,10,12,15,20,30,60 List the factors of 96 1,2,3,4,6,8,12,16,24,32,48,96 find the largest factor - 12

Find the GCF of 36 and 24

Find the LCM of 12 and 18

Multiples of 12 are… 12,24,36,48,60,72,…. Multiples of 18 are… 18,36,54,72,90,108,… The smallest multiple the 2 numbers have in common is the least common multiple.

Find the LCM of 18 and 12