Advanced GCD Mathematics Course
This course dives deep into GCD and LCM properties, Euclidean algorithms, Bézout's identity, and linear Diophantine equations. You'll gain strong proof skills and computational expertise for number theory, cryptography, and tough maths problems, with examples and real-world uses in modular arithmetic.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
Explore advanced GCD concepts from divisibility basics to tools like Euclidean algorithms, Bézout identity, and Diophantine equations. Learn with examples, error checks, and applications in congruences, cryptography, plus 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 rigorously.
- Solve linear Diophantine equations and find all integer solutions.
- Connect GCD, LCM, and prime factors for efficient calculations.
- Apply GCD to modular inverses, congruences, and RSA basics.
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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