When the Euclidean algorithm yields a greatest common divisor of 1, it means the two input numbers are relatively prime (or coprime). This indicates that they share no common positive integer divisors other than 1.
Conditions: The inputs are natural numbers.; The Euclidean algorithm terminates with a last nonzero remainder of 1.
When the Euclidean algorithm yields a greatest common divisor of 1, it means the two input numbers are relatively prime (or coprime). This indicates that they share no common positive integer divisors other than 1.
Conditions: The inputs are natural numbers.; The Euclidean algorithm terminates with a last nonzero remainder of 1.
To compute gcd(5295,4321), apply the Euclidean algorithm by repeatedly dividing the previous divisor by the previous remainder. Start with 5295=1⋅4321+974.
Conditions: The inputs are 5295 and 4321.; The Euclidean algorithm is used.; The division algorithm is applied at each step.
To compute gcd(5295,4321), apply the Euclidean algorithm by repeatedly dividing the previous divisor by the previous remainder. Start with 5295=1⋅4321+974.
Conditions: The inputs are 5295 and 4321.; The Euclidean algorithm is used.; The division algorithm is applied at each step.
The Euclidean algorithm computes the greatest common divisor by repeatedly applying the division algorithm. Starting with two natural numbers a and b, you divide the larger by the smaller to get a quotient and a remainder.
Conditions: The inputs a and b are natural numbers.; The division algorithm is applied repeatedly.; The process stops when a remainder equals 0.
The Euclidean algorithm computes the greatest common divisor by repeatedly applying the division algorithm. Starting with two natural numbers a and b, you divide the larger by the smaller to get a quotient and a remainder.
Conditions: The inputs a and b are natural numbers.; The division algorithm is applied repeatedly.; The process stops when a remainder equals 0.