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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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Related questions

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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No, because the intersection of two equivalent sets will have a union the same size as its intersection.


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It means meet. Point of intersection is the point where shapes or lines meet. With regard to sets, the intersection of two sets is the set of elements that are common to both sets. For example, the intersection of the set of the first five whole numbers and the set of the first five odd numbers is the set of the first three odd numbers. This is expressed as {1, 2, 3, 4, 5} ∩ {1, 3, 5, 7, 9} = {1, 3, 5}


Is intersection of two countably infinite sets can be finite?

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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How do you illustrate a joint sets by using a venn diagram?

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