The Euclidean algorithm computes the greatest common divisor using repeated remainders.
What Is Euclidean Algorithm?
The Euclidean algorithm computes the greatest common divisor using repeated remainders.
Examples of Euclidean Algorithm
1
gcd(48,18): 48 mod 18=12, 18 mod 12=6, so gcd=6.Formula and Key Points
Formula / rule
gcd(a,b)=gcd(b,a mod b)
- Know the definition and standard notation for Euclidean Algorithm.
- Be able to recognise or compute euclidean algorithm in a small example.
- Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
Why This Matters in Computer Science
Used in cryptography, hashing, coding theory, security protocols and efficient integer algorithms. Used to compute gcd efficiently and supports modular inverses in cryptographic algorithms.
Related Math Terms
Euclidean Algorithm: Frequently Asked Questions
What is Euclidean Algorithm?
The Euclidean algorithm computes the greatest common divisor using repeated remainders.
Why is Euclidean Algorithm useful in computer science?
Used in cryptography, hashing, coding theory, security protocols and efficient integer algorithms. Used to compute gcd efficiently and supports modular inverses in cryptographic algorithms.