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Linear Diophantine Equation Solver

Finds all integer solutions to a linear Diophantine equation of the form ax + by = c. Use it when you need exact integer answers in problems involving divisibility, coin combinations, or scheduling.

Coefficient a

Coefficient b

Constant c

Solution Type

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Number Theory

Chinese Remainder Theorem Solver

Solve systems of simultaneous modular congruences using the Chinese Remainder Theorem (CRT). Essential for cryptography, competitive programming, and advanced number-theory coursework.

First Remainder (a₁)

First Modulus (m₁)

Second Remainder (a₂)

Second Modulus (m₂)

Third Remainder (a₃, Optional)

Third Modulus (m₃, Optional)

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Key differences

	Linear Diophantine Equation Solver	Chinese Remainder Theorem Solver
Category	Number Theory	Number Theory
Inputs required	4	6
Result	Solution Code	Solution (x)
What it does	Finds all integer solutions to a linear Diophantine equation of the form ax + by = c. Use it when you need exact integer answers in problems involving divisibility, coin combinations, or scheduling.	Solve systems of simultaneous modular congruences using the Chinese Remainder Theorem (CRT). Essential for cryptography, competitive programming, and advanced number-theory coursework.