Advanced GCD Mathematics Course
Master gcd, lcm, Bézout identity, Euclidean and extended Euclidean algorithms, and linear Diophantine equations. Build proof skills and computational fluency for advanced number theory, cryptography, and rigorous mathematical problem solving.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
The Advanced GCD Mathematics Course gives you a fast, rigorous path from core divisibility concepts to powerful computational tools. You will master gcd and lcm properties, the Euclidean and extended Euclidean algorithms, Bézout identity, and linear Diophantine equations, with fully worked examples, error-checking strategies, and practical applications in modular arithmetic, congruences, and cryptography, plus curated references for deeper 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 workloadWhat our students say
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