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If you were to find the GCF of 20 and 36. Draw 2 overlapping circles. List "20" above one of the circles and "36" above the other. In the circle under "20", list the factors of 20 that are NOT factors of 36- 1, 5, 10, 20. In the other circle, list the factors of 36 that are NOT factors of 20- 1, 3, 6, 9, 12, 36. The factors that 20 and 36 that are in common are listed in the overlapping part of the circle or intersection- 2, 4. The greatest number in common is 4 (GCF). In other words, the largest number listed in the intersection is the GCF.

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Q: How do you find the GCF of numbers using intersection of sets?
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Intersection and union of sets of real numbers?

Yes, they can be very useful mathematical sets.


Can some numbers be rational and irrational?

No. The intersection of the two sets is null. Irrational numbers are defined as real numbers that are NOT rational.


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Easily. Indeed, it might be empty. Consider the set of positive odd numbers, and the set of positive even numbers. Both are countably infinite, but their intersection is the empty set. For a non-empty intersection, consider the set of positive odd numbers, and 2, and the set of positive even numbers. Both are still countably infinite, but their intersection is {2}.


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the intersection of two sets of elements is represented by the word: a)or b)and c)up


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