Difference between revisions of "Common divisor"

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==Problems==
 
==Problems==
 
 
===Introductory===
 
===Introductory===
 
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*Find the greatest common divisor of 12, 99, and 111.  
Find the greatest common divisor of 12, 99, and 111.
 
  
 
===Intermediate===
 
===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.
  
Prove that the greatest common divisor of two numbers times the least [[common multiple]] of two numbers is 1.
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== See also ==
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*[[Euclidean algorithm]]
  
 
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Revision as of 13:56, 23 September 2007

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

This article is a stub. Help us out by expanding it.

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