I have to find the GCF of
24, 48, and 60
The answer in the back of my book says 12. I don't understand how they got that answer. In fact, I can't figure out how to do GCFs of anything with three terms for that matter. Could someone explain what I'm supposed to do on this sort of problem?
2007-09-03 08:52:44 · 6 answers · asked by jotaro 1 in Science & Mathematics ➔ Mathematics
Factorize each number and pick all the common factors.
24 = 2*2*2*3
48 = 2*2*2*2*3
60 = 2*2*3*5
Common to each are two 2's and one 3: 2*2*3=12
2007-09-03 09:04:23 · answer #1 · answered by Anonymous · 2⤊ 0⤋
The GCF is 12, because 12 is the highest number that can go into 24, 48, AND 60.
2 x 12 = 24
4 x 12 = 48
5 x 12 = 60
The GCF is just that, the largest number that will fit into a set of numbers.
2007-09-03 09:02:43 · answer #2 · answered by Joseph H 2 · 1⤊ 0⤋
When you have 3 numbers like this, find the GCF
of them 2 at a time.
So GCF(24,48) = 24 since 24 divides 48.
Now use this result for the next stage:
GCF(24,60) = 12.
What I'm getting at is if you can work the GCF of
2 numbers, you can also do 3.
2007-09-03 09:11:09 · answer #3 · answered by steiner1745 7 · 0⤊ 0⤋
24
/ \
12 12
/ \ / \
6 6 6 6
/ \ / \ / \ / \
3 3 3 3 3 3 3
This one is dun
because i can't
devide 3by a
whole number
and get a whole
number
48
/ \
24 24
/ \ / \
12 12 12 12
/ \ / \ / \ / \
6 6 6 6 6 6 6 6
/ \ / \ / \ / \ / \ / \ / \ /\
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
this one is dun for the same
reason
60
/ / / \ \
12 12 12 12 12
/ \ / \ / \ / \ / \
6 6 6 6 6 6 6 6 6 6
/ \ /\ / \ /\ / \ /\ / \ /\ / \ /\
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
you keep deviding untell you get prime numbers at the botom then you find the biggest number that is the same in all of them
2007-09-03 09:55:54 · answer #4 · answered by Anonymous · 0⤊ 1⤋
components of – 30 = – a million × 30 = – a million × 5 × 6 components of five = a million × 5 GCD = 5 LCM = GCD × uncommon components = 5 × (–a million) × 6 × a million = – 30 GCF of a^3 and a^5 the backside exponent of a i.e. a^3 complete GCF = 5a^3 ----
2016-11-14 02:24:49 · answer #5 · answered by ? 4 · 0⤊ 0⤋
GCFs or greatest common factor is basicly finding the largest number that is a factor of the number you need to find the GCF of. 12 is the answer because 12 is the largest common factor of all 3 numbers.
p.s. hope i didn't confuse you
2007-09-03 09:02:46 · answer #6 · answered by sarahlahot 2 · 0⤊ 0⤋