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1, with 1 as the odd divisor.

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Q: What is the least whole number with only one odd number as its divisor?
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What is the least common divisor of 18?

It is not possible to give a sensible answer to this question. The least common divisor (LCD) refers to a divisor that is COMMON to two or more numbers. You have only one number in the question!


Why is the quotient a whole number?

Most quotients are NOT whole numbers: only those in which the divisor in the simplest form is 1 are whole numbers.


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As 1 divides every number, 1 is the least common divisor in all cases. The only exception is when all numbers considered are 0, as 0 divides all of them in that particular case and so is the least common divisor then.


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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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