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and is called the set of natural numbers.

and is called the set of
integers.
 means that .
 means that .

means that a=b+mq for some .
 means that there is an integer such that .

means that has the following properties:

.
 is the least such positive integer.
Note that exists if and only if (iff) .
 means that has the following properties:
is called the greatest common divisor(GCD) of and .
 means that has the following properties:
is called the least common multiple(LCM) of and .
Gregory Stoll
20000408