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Here"s a rather odd method of identify this....but the works!!! It"s dubbed the "Sieve of Eratosthenes"

First take it the smaller provided number and also subtract that from the larger......so us have......

You are watching: What is the gcf of 8 and 20

20 - 8 = 12 ........Now, go 12 divide both 8 and also 20??? Nope. Now, compare what we subtracted (12) and the an outcome we obtained (8) and, again, subtract the smaller from the larger.

So we have actually 12 - 8 = 4........Now, walk 4 division 8 and also 12?? Yep. And that"s our GCF...!!!

Why go this work?? because if a number divides two subtracted quantities, it also divides your sum. Therefore 4 divides 8 and also it additionally divides 8 + 12 = 20 !!!

Note, if we usage this process on two numbers and also we end up with a "1," the numbers are relatively prime to each other. That provides sense......only one non-zero number divides two reasonably prime numers....namely, 1 !!

CPhill Aug 26, 2014
#4
+114481
+5

okay mine turn

GCF of 8 and also 12

look at the little one 8

factors of 8 space 1,2,4,8

Now look at these determinants -biggest come smallest.

Does 8 go into 12 NO

Does 4 go int 12 correct so 4 is the GCF

Melody Aug 26, 2014

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