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 12:56, 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

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