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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.

Number Theory

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.

Key differences

	Euler's Totient Function Calculator	Chinese Remainder Theorem Calculator
Category	Number Theory	Number Theory
Inputs required	1	6
Result	φ(n) Result	Solution (x)
What it does	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.	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.