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Do a prime factorization of each number. Draw 3 overlapping circles. Place the factors into each circle: note: some will go into the overlapping sections of the circles. All those numbers in the overlapping section of ALL circles will form the GCF.

Multiply those in that overlapping section and that equals the GCF.

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Q: How do you find the GCF of 3 numbers using a venn diagram?
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Related questions

What do you multiply in a venn diagram to find the GCF?

You multiply all the numbers in the center of the Venn Diagram. This gives you the highest possible number that goes into both numbers.


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Why does it make sense to multiply the numbers in the middle of the Venn Diagram to determine the GCF of a pair of numbers?

Factors multiply. The numbers in the middle of the Venn diagram are common factors. If there are two or more, their product will give you the greatest common factor.


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Using a Venn diagram for this problem is overkill, since 6 is a multiple of 3 and will automatically be the LCM of this problem. But if you insist... Put a 3 in the left circle and put a 6 in the space where the two circles intersect.


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