Advanced GCD Mathematics Course
This course builds mastery in GCD, LCM, Bézout's identity, Euclidean algorithms, and linear Diophantine equations. Develop strong proof techniques and computational skills for number theory, cryptography, and advanced problem-solving in mathematics.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Explore core divisibility, GCD and LCM properties, Euclidean algorithms, Bézout identity, and linear Diophantine equations. Gain practical skills in modular arithmetic, congruences, and cryptography applications with examples and references.
Elevify advantages
Develop skills
- Master Euclidean and extended Euclidean algorithms for fast GCD computation.
- Compute Bézout coefficients and prove coprimality practically.
- Solve linear Diophantine equations and find all integer solutions.
- Connect GCD, LCM, and prime factors for efficient calculations.
- Apply GCD to modular inverses, congruences, and RSA basics.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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