Advanced GCD Mathematics Course
This course builds mastery in gcd, lcm, Bézout identity, Euclidean and extended Euclidean algorithms, and linear Diophantine equations. Develop strong proof skills and computational fluency for advanced number theory, cryptography, and rigorous mathematical problem solving. Explore practical applications in modular arithmetic, congruences, and cryptography basics, with worked examples and error-checking strategies to ensure deep understanding and confidence in complex computations.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain a rigorous path from divisibility basics to advanced tools like gcd/lcm properties, Euclidean algorithms, Bézout identity, and linear Diophantine equations. Includes worked examples, modular arithmetic applications, congruences, cryptography intros, and references for further study.
Elevify advantages
Develop skills
- Master Euclidean and extended Euclidean algorithms for fast gcd computation.
- Compute Bézout coefficients and prove coprimality in rigorous, practical form.
- Solve linear Diophantine equations and describe full integer solution sets.
- Link gcd, lcm, and prime factorization to efficient arithmetic and proofs.
- Apply gcd methods to modular inverses, congruences, and core RSA steps.
Suggested summary
Before starting, you can change the chapters and the 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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