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Finding the Greatest Common Divisor of Two Numbers by Factoring
You can find the greatest common divisor (GCD) of two numbers by multiplying together all the prime factors they have in common.
Contributed by:
Jesse Nochella
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A much more efficient way of computing GCDs has been known for the past 2300 years. Named the Euclidean Algorithm, it is one of the oldest mathematical procedures known, appearing in Euclid's
Elements
around 300 BC.
RELATED LINKS
Divisor
(
Wolfram
MathWorld
)
Greatest Common Divisor
(
Wolfram
MathWorld
)
Euclidean Algorithm
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Finding the Greatest Common Divisor of Two Numbers by Factoring
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FindingTheGreatestCommonDivisorOfTwoNumbersByFactoring/
Contributed by:
Jesse Nochella
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Related Topics
Euclid's Elements
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Number Theory
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Related Curriculum Standards
US Common Core State Standards, Mathematics
4.OA.B.4
6.NS.B.4
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