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Math Notes » Lowest Terms/GCF/LCM


Lowest Terms/GCF/LCM Lowest Terms/GCF/LCM

 

Lowest terms

Also referred as reducing fractions

* you want the fraction to be as low as it can.

Find a number, it has to be the same number, that can go into both the top and the bottom number evenly. 

Continue to divide by the same number until there are no other numbers left.  If either the top or the bottom number reach 1, it is as low as it can go.

 

GCF

Greatest Common Factor.

Factors are the numbers that can evenly divide another number. Ex. 12, the factors are 1, 2, 3, 4, 6 are all numbers that can evenly divide 12.

When given two numbers to find the GCF, you list all of the factors and then find the biggest factor that the numbers have in common.

Ex. 12: 1, 2, 3,4 ,6

        9: 1, 3, 9

The greatest common factor of 12 and 9 is 3.

 

LCM

Least common multiple

The smallest number that when you multiply out the numbers have in commong

10 the multiples are 10, 20, 30, 40, 50, 60 . . .

If you want the LCM or 8 and 10,

10, 20, 30 , 40, 50, 60

8, 16, 24, 32, 40

The LCM is 40.





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