Using a Venn Diagram to find the Greatest Common Factor and the Least Common Multiple
The above Venn was created by factoring the number 24 by using the rules of divisibility to find:
The same process was used for 40 to see
Now put all the common factors in the center of the Venn 2 x 2 x 2 =8
So 8 is the GCF
Multiply all the factors in the complete diagram to get 40 x 3= 120
for the Least Common multiple
DO YOU SEE THAT 3/5 is looking right at you for the simplified version of 24/40. WHY?
Is it because when you divide out the GCF of 8 into the 24 you get 3 and 8 into 40 is 5?