Find the greatest common factor of 8, 16, and 20.
I got 4...is this right?
2007-08-26 05:27:18 · 9 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Yes-- way to go!
2007-08-26 05:40:23 · answer #1 · answered by V B 5 · 0⤊ 0⤋
Yes, you are . . . but how do you know? What if you have a lot more complicated numbers like 63, 98, 140 and 490 or even worse. This is the way to do it:
Factor 8 as much as you can (into primes.) You get 2x2x2
Factor 16 as much as you can.) 2x2x2x2
Same with 20: 2x2x5
The greatest common factor: 2 is common to all three, but so is 2x2 but not 2x2x2 therefore the gcf contains 2x2. What about the 5? It ain't common to the three nos. so it doesn't make it into the gcf. So, your gcf is 2x2 = 4.
This method works for any number of numbers.
2007-08-26 12:45:30 · answer #2 · answered by rrsvvc 4 · 0⤊ 0⤋
Write out the prime factorization of each:
8 = 2x2x2
16 = 2x2x2x2
20 = 2x2x5
The GCF is the product of the common prime factors. They all have two factors of 2, though some more but we can only consider what they all share. Only 20 has a 5 factor. SO the GCF = 2x2 = 4. You are correct.
2007-08-26 12:36:43 · answer #3 · answered by jcsuperstar714 4 · 0⤊ 0⤋
yes, beacase that is a common factor, and it is as high as you can get, because u cant get higher than 1/2 and 4 is1/2 of 8.
2007-08-26 12:40:02 · answer #4 · answered by Sali 3 · 0⤊ 0⤋
H.C.F. is the largest number that will divide into 8 AND 16 AND 20
H.C.F. = 4 (as you state)
2007-08-26 14:27:24 · answer #5 · answered by Como 7 · 1⤊ 0⤋
Yes. It is the largest number by which they are all divisible.
2007-08-26 12:33:06 · answer #6 · answered by Anonymous · 0⤊ 0⤋
Yes, vry correct
2007-08-26 13:12:19 · answer #7 · answered by Joymash 6 · 0⤊ 1⤋
GCF of 8,16 and20=4.
you are right.
2007-08-26 12:35:22 · answer #8 · answered by Anonymous · 0⤊ 0⤋
Correct. Have faith in your own intelligence!
2007-08-26 12:32:46 · answer #9 · answered by Marley K 7 · 1⤊ 0⤋