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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

Compute Euler's totient φ(n), the count of integers from 1 to n that share no common factor with n. Essential for RSA key generation, modular arithmetic, and exploring multiplicative number theory.

Input Number (n)

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	1
Result	Solution (x)	φ(n) Result
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.	Compute Euler's totient φ(n), the count of integers from 1 to n that share no common factor with n. Essential for RSA key generation, modular arithmetic, and exploring multiplicative number theory.