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Library/Number Theory/GCD and LCM. Mutual primality

GCD and LCM. Mutual primality

Practice
Overview

Learn this topic through practice. Work through the problems to build your understanding.

Practice
Prove the GCD equality for odd integers a, b, c.
Prove the Non-existence of Natural Number Solutions for a Fraction Equation
Measuring Specific Volumes Using 310 ml and 210 ml Jugs
Solve the Absolute Value Equation for x
Finding the Second Cinema Meeting Date for Four Pupils
Exploring Primality of the Polynomial n² + n + 41
Settling a Debt Between Two Counterfeiters
Maximize GCD of Quadratic Expressions with Natural Numbers
Final Shape After Repeated Square Cuts from Rectangle
Prove LCM Divides Any Common Multiple of Two Numbers
More practice problems →
Practice
Prove the GCD equality for odd integers a, b, c.
Prove the Non-existence of Natural Number Solutions for a Fraction Equation
Measuring Specific Volumes Using 310 ml and 210 ml Jugs
Solve the Absolute Value Equation for x
Finding the Second Cinema Meeting Date for Four Pupils
Exploring Primality of the Polynomial n² + n + 41
Settling a Debt Between Two Counterfeiters
Maximize GCD of Quadratic Expressions with Natural Numbers
Final Shape After Repeated Square Cuts from Rectangle
Prove LCM Divides Any Common Multiple of Two Numbers
More practice problems →