3-circle Venn diagram

A 3-circle Venn diagram, named after the English logician Robert Venn, is a diagram that shows how the elements of three sets are related using three overlapping circles.

When the three circles in a Venn diagram overlap, the overlapping parts contain elements that are common to any two circles or all the three circles. 

3-circle Venn diagram

Some important observations

  • Elements in A and B = elements in A and B only plus elements in A, B, and C.
  • Elements in B and C = elements in B and C only plus elements in A, B, and C.
  • Elements in A and C = elements in A and C only plus elements in A, B, and C.

Example showing how to create a 3-circle Venn diagram

We can create a 3-circle Venn diagram to show the relationships between the factors of 30, 40, and 100

Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30

Factors of 40 : 1, 2, 4, 5, 8, 10, 20, 40

Factors of 100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

3-circle Venn diagram showing the relationships between the factors of 30, 40, and 100

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