Advanced GCD Mathematics Course
This course builds mastery in gcd, lcm, Bézout identity, Euclidean and extended Euclidean algorithms, and linear Diophantine equations. Develop strong proof skills and computational fluency for advanced number theory, cryptography, and rigorous mathematical problem solving, with practical examples and applications in modular arithmetic and congruences.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Explore core divisibility from gcd and lcm properties to advanced tools like Euclidean algorithms, Bézout identity, and linear Diophantine equations. Gain rigorous examples, error-checking, and applications in modular arithmetic, congruences, cryptography, with references for further 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 workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
FAQs
Who is Elevify? How does it work?
Do the courses have certificates?
Are the courses free?
What is the course workload?
What are the courses like?
How do the courses work?
What is the duration of the courses?
What is the cost or price of the courses?
What is an EAD or online course and how does it work?
PDF Course