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Chinese Remainder Theorem Calculator

Finds the smallest non-negative integer x satisfying a system of two or three simultaneous modular congruences. Used in cryptography, scheduling problems, and number theory proofs.

First Remainder (a₁)

First Modulus (m₁)

Second Remainder (a₂)

Second Modulus (m₂)

Third Remainder (a₃, Optional)

Third Modulus (m₃, Optional)

Fill in the required fields to see your result.

Number Theory

Euler's Totient Function Calculator

Computes Euler's totient φ(n), the count of integers from 1 to n that share no common factor with n. Essential for RSA encryption key generation and modular arithmetic problems.

Number (n)

List Coprime Numbers

Fill in the required fields to see your result.

Key differences

	Chinese Remainder Theorem Calculator	Euler's Totient Function Calculator
Category	Number Theory	Number Theory
Inputs required	6	2
Result	Solution (x)	Totient φ(n)
What it does	Finds the smallest non-negative integer x satisfying a system of two or three simultaneous modular congruences. Used in cryptography, scheduling problems, and number theory proofs.	Computes Euler's totient φ(n), the count of integers from 1 to n that share no common factor with n. Essential for RSA encryption key generation and modular arithmetic problems.