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To compute $\gcd(5295, 4321)$, apply the Euclidean algorithm by repeatedly dividing the previous divisor by the previous remainder. Start with $5295 = 1 \cdot 4321 + 974$.

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 $5295 = 1 \cdot 4321 + 974$.

Conditions: The inputs are 5295 and 4321.; The Euclidean algorithm is used.; The division algorithm is applied at each step.

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.