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What is the gcf of 90 480?

Updated: 8/20/2019
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12y ago

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The easiest way to find the GCF (in my opinion) is to find out what numbers mulitply to 90 and 480:

90: 1x90; 2x45; 3x30; 5x18; 6x15; 9x10

(You know you can stop at 9x10 because after 10, at 6x15, is 15. The numbers go in order if you list it out: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90)

You can do the same thing for 480.

480: 1x480; 2x240; 3x160; 4x120; 5x96; 6x80; 8x60; 10x48; 12x40; 15x32; 16x30

You can stop at 16x30 because when you compare it with the factors with 90, you can see that 480 does not have any factors with 90 and 45, so the next highest is 30.

Answer: 30

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