Advanced GCD Mathematics Course
This course builds strong skills in gcd, lcm, Bézout identity, Euclidean and extended Euclidean algorithms, and linear Diophantine equations. Learners gain proof abilities and computational fluency for advanced number theory, cryptography, and tough math problems, using clear examples and real-world uses in modular arithmetic and secure systems.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain a quick, solid path from basic divisibility to strong computational tools in this Advanced GCD Mathematics Course. Master gcd and lcm properties, Euclidean and extended Euclidean algorithms, Bézout identity, and linear Diophantine equations. Explore worked examples, error checks, and applications in modular arithmetic, congruences, cryptography, with key references for more 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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