Tool to test / find / check co-prime numbers (relatively prime). Two (or more) Integers are called coprimes if their GCD (greatest common divisor) is equal to 1.
Coprimes - dCode
Tag(s) : Arithmetics
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Coprimes
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Tool to test / find / check co-prime numbers (relatively prime). Two (or more) Integers are called coprimes if their GCD (greatest common divisor) is equal to 1.
Answers to Questions
What are coprimes/relatively primes numbers? (Definition)
How to calculate if numbers are coprimes?
Formally, in mathematics, two numbers are coprimes if the GCD (greatest common divisor) of these numbers is equal to 1. This definition can be extended to N numbers.
Example: GCD(4,6) = 2, then 4 and 6 are not coprimes.
Example: GCD (4,5,6) = 1 then 4, 5 and 6 are coprimes (even if 4 and 6 are not).
Example: GCD (7,12) = 1 then 7 and 12 are coprimes.
How to find a coprime number with another?
dCode's checker tests numbers depending on the prime factor decomposition of the first number (and therefore its divisors) to find coprime numbers. Then check that GCD equals 1 to confirm the number.
Are 1 and 1 coprimes?
According to the definition, yes, 1 and 1 are coprimes as GCD(1,1)=1. Morever 1 and any positive integer are relatively primes.
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Source code
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