Advanced GCD Mathematics Course
This course provides a rigorous path to mastering gcd and lcm properties, Euclidean and extended Euclidean algorithms, Bézout identity, and linear Diophantine equations. Students develop proof skills and computational fluency for advanced number theory, cryptography, modular arithmetic, and mathematical problem solving, with practical examples and applications.

4 to 360h flexible workload
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What will I learn?
Explore core divisibility concepts through gcd and lcm properties, Euclidean and extended Euclidean algorithms, Bézout identity, and linear Diophantine equations. Gain computational tools for modular arithmetic, congruences, cryptography like RSA basics, with worked examples, error-checking, 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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