How can you use the Euclidean Algorithm to find the GCF of three numbers?

You can find the prime factors of all three numbers, combine (multiply) those numbers and remove redundant factors. So if your numbers are 4, 6 and 8, then those factors are (2*2), (3*2), and (2*2*2)...

The same as with two. Example: 30, 42 and 66. Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 2 x 3 x 11 = 66 Select the common factors. 2 x 3 = 6, the GCF

18, 27, 45

For example we have 2 Nos. 24 & 36 . GCF =24)36(1 24------------ 12)24(2 24---------------- 0So the last divisor is the GCF of 24 & 36 which is 12 . And the above method is called successive...

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