Advanced GCD Mathematics Course
This course covers advanced GCD concepts including LCM, Bézout's identity, Euclidean algorithms, and linear Diophantine equations. Learners gain strong proof abilities and computational skills for number theory, cryptography, and complex maths problems, with practical examples and applications.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
Explore core divisibility, GCD and LCM properties, Euclidean algorithms, Bézout identity, and linear Diophantine equations. Includes examples, error checks, modular arithmetic, congruences, cryptography uses, and study resources.
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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