Difference between revisions of "Common divisor"

(see also)
 
(One intermediate revision by the same user not shown)
Line 3: Line 3:
 
==Problems==
 
==Problems==
 
===Introductory===
 
===Introductory===
*Find the greatest common divisor of 12, 99, and 111.  
+
* Find the greatest common divisor of 12, 99, and 111.  
  
 
===Intermediate===
 
===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.
+
* 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 ==
 
== See also ==
*[[Euclidean algorithm]]
+
* [[Euclidean algorithm]]
 +
* [[Common multiple]]
  
 
{{stub}}
 
{{stub}}

Latest 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

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

Invalid username
Login to AoPS