Advanced GCD Mathematics Course
This course provides a rigorous path to mastering GCD and LCM properties, Euclidean algorithms, Bézout identity, and linear Diophantine equations. Develop strong proof skills and computational fluency for advanced number theory, cryptography, and mathematical problem-solving, with practical examples and applications in modular arithmetic and congruences.

4 to 360 hours of flexible workload
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What Will I Learn?
Explore core divisibility through GCD and LCM, Euclidean and extended Euclidean algorithms, Bézout identity, and linear Diophantine equations. Gain computational tools, proof techniques, and applications in modular arithmetic, congruences, and cryptography basics, supported by examples and references.
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 describe full integer solutions.
- Link GCD, LCM, and prime factorization for efficient arithmetic.
- Apply GCD methods to modular inverses, congruences, and RSA basics.
Suggested Summary
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