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There is none. A common divisor is a number which can be used to divide your quantities with , and finish up with a Whole Number with both of them . EXAMPLE Take the numbers, 6 and 15 The only number which you can divide BOTH of them with, and get a whole number as an answer, is the number 3 This number is called the Common Divisor. Let me do it for you: 6 divided by 3 equals 2. And 15 divided by 3 is 5. How do you find out what the common divisor is ? Answer. Break both the numbers into all the Prime number 'factors'. E.g. Factors of 6 are 3 x 2. Factors of 15 are 3 x 5. Now you use the factors which are contained in BOTH of them. They BOTH contain only the number 3 as their COMMON factor. This number 3 is the Common Divisor. Now you can see why (your question ) 3 and 8 do not have any common divisor because the factors of 8 equal 2 x 2 x 2 and the factors of 3 is only 3. They have NOTHING in common , so they have no common divisor. MORE: The number 1 is a comon divisor or common factor, but we ignore that because everyone knows that 1 is a common factor in every number you can think of.

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The Greatest Common Divisor of 12, 15 is 3.

The Greatest Common Divisor (GCD) for 3 2 is 1.

It is three.

Q: What is the greatest common divisor of 3 and 2?

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