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 (GCD) for 3 30 is 3.
The Greatest Common Divisor of 15, 18 3.
The Greatest Common Divisor of 57, 90 is 3.
The Greatest Common Divisor (GCD) for 21 39 is 3.
The greatest common divisor of 27 and 30 is 3.