Difference between revisions of "Common divisor"

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A '''common divisor''' of two or more [[integer | integers]] is a [[divisor]] of all those integers.  For any [[set]] of [[positive integer]]s, there is a [[greatest common divisor]].
 
A '''common divisor''' of two or more [[integer | integers]] is a [[divisor]] of all those integers.  For any [[set]] of [[positive integer]]s, there is a [[greatest common divisor]].
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==Problems==
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===Introductory===
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* Find the greatest common divisor of 12, 99, and 111.
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===Intermediate===
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* Prove that the greatest common divisor of two numbers times the least [[common multiple]] of those two numbers is equal to the product of the two numbers.
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== See also ==
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* [[Euclidean algorithm]]
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* [[Common multiple]]
  
 
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Revision as of 11:12, 19 April 2008

A common divisor of two or more integers is a divisor of all those integers. For any set of positive integers, there is a greatest common divisor.

Problems

Introductory

  • Find the greatest common divisor of 12, 99, and 111.

Intermediate

  • Prove that the greatest common divisor of two numbers times the least common multiple of those two numbers is equal to the product of the two numbers.

See also

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