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 mathematical problems, using clear examples and real-world links suited for Zambian students seeking precise maths mastery.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
Gain a quick, solid route 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 uses in modular arithmetic, congruences, cryptography, with key references for further learning.
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 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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