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. Learners develop strong proof skills and computational fluency for advanced number theory, cryptography, modular arithmetic, and challenging mathematical problems, supported by examples, error-checking, and curated references.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Explore core divisibility through gcd and lcm, Euclidean algorithms, Bézout identity, and linear Diophantine equations with worked examples and applications in modular arithmetic, congruences, and cryptography basics.
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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