Advanced GCD Mathematics Course
This course builds mastery in gcd, lcm, Bézout identity, Euclidean and extended Euclidean algorithms, and linear Diophantine equations. It develops strong proof skills and computational fluency essential for advanced number theory, cryptography, and rigorous mathematical problem solving in practical settings.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain a swift, rigorous journey from basic divisibility to advanced computational tools in this Advanced GCD Mathematics Course. Master gcd and lcm properties, Euclidean and extended Euclidean algorithms, Bézout identity, and linear Diophantine equations through detailed examples, error-checking techniques, and real-world uses in modular arithmetic, congruences, cryptography, with handpicked references for further exploration.
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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