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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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Number Theory

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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Key differences

	Chinese Remainder Theorem Solver	Linear Diophantine Equation Solver
Category	Number Theory	Number Theory
Inputs required	6	4
Result	Solution (x)	Solution Code
What it does	Solve systems of simultaneous modular congruences using the Chinese Remainder Theorem (CRT). Essential for cryptography, competitive programming, and advanced number-theory coursework.	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.