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2007-01-04 06:42:08 · 10 answers · asked by Smileforme 1 in Science & Mathematics Mathematics

10 answers

In general, to find the greatest common divisor of a set of numbers, one way is to;

1) Write each number as a product of prime factors;
2) For each factor that all numbers have in common, take the LEAST power that they all have in common;
3) Multiply the new factors together.

Example:

252 and 2079

252 = 2^2 x 3^2 x 7
2079 = 3^3 x 7 x 11

The factors in common are 3 and 7, and the least power of 3 that is common to both is 3^2.

So the greatest common divisor is 3^2 x 7 = 63.

The Euclidean algorithm is another way to do this, as previously mentioned.

The way it works is, you divide the smaller number into the larger number:

2079/252 = 8 remainder 63

Then take the smaller number and divide it by the remainder:

252/63 = 4 remainder 0

Since we've got a 0 remainder, the last thing we divided by (63) is the greatest common divisor.

2007-01-04 06:47:08 · answer #1 · answered by Jim Burnell 6 · 0 0

A common divisor is a number that you can divide into 2 or more numbers. a common divisor for 4 and 8 would be 4. A common divisor for 10, 20, 30, and 40 would be 2 or 5, but if you want the highest common divisor it would be 10.

2007-01-04 14:48:09 · answer #2 · answered by Rod Rod Go 6 · 0 0

Determine the largest number that will evenly divide the numbers in question.

ex. A common divisor of 15 and 10 is 5.

2007-01-04 14:45:12 · answer #3 · answered by Anonymous · 0 0

Factor them. The common divisor will be the product of all the common factors.

2007-01-04 14:54:02 · answer #4 · answered by computerguy103 6 · 0 0

say u want to make 1/4 and 2/5 equal. 1/4 would be 5/20 and 2/5 would be 8/20, because you need to times 4 and 5 (the denominators or the botom number in a fraction) by eachother so its equal, (5/20 x 4 because thats the other number is 1/4, and you times 1/4 by 5 because the other fraction is 5/20) and you do the say to the numerator (top number), so 1/4 and 2/5 are being equal would be 1/4 as 5/20 and 2/5 as 8/20.

2007-01-04 14:46:15 · answer #5 · answered by §†reet R¥dA 6 · 0 0

Do you mean factor?

Let's say your #s are 20 and 48. First prime factorize each by making factor trees.

20 = 2^2 x 5
48 = 2^4 x 3

Now take the least powers of any common prime factor(s) and multiply them together.

The common prime factor (there's only 1 here) is 2. The least power of 2 is 2.

So the greatest common factor is 2^2, or 4.

Hope that helps!

2007-01-04 14:47:16 · answer #6 · answered by teekshi33 4 · 0 0

write down the divisors for each number and then find the one(s) that match

I dont think there is a trick

2007-01-04 14:44:34 · answer #7 · answered by brainiac 4 · 0 0

Use the Euclidean Algorithm. It's a set of easy steps. Just google 'Euclidean Algorithm.'

2007-01-04 14:46:11 · answer #8 · answered by doublenickelsonthedime55 1 · 1 0

First you must find the common denominator. Then you take all your assets and give HER at least half!

2007-01-04 14:45:48 · answer #9 · answered by Brian H 4 · 0 0

search

2007-01-04 14:43:40 · answer #10 · answered by Anonymous · 0 1

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