Modular Arithmetic Calculator

Perform modular arithmetic operations.

This Modular Arithmetic Calculator allows you to calculate or convert values instantly. It is free, fast, and easy to use.

  • Free Online Tool
  • Instant Results
  • Mobile Friendly
  • No Installation
  • Secure & Private

Understanding This Calculator

Modular Arithmetic

Calculates the remainder when a number is divided by n.

a mod n = r (where a = nq + r, 0 ≤ r < n)
Congruence: a ≡ b (mod n) if n divides (a - b)

Example 1

17 mod 5

  • 17 = 5(3) + 2
  • Result: 2

Example 2

Check: 25 ≡ 11 (mod 7)?

  • 25 - 11 = 14
  • 14 is divisible by 7? Yes.
  • True

How to Use

  • Enter two numbers a and b.
  • Enter modulus n.

Frequently Asked Questions

How do I use the Modular Arithmetic Calculator?

Enter your values in the input fields, and the result will appear instantly.

Is this calculator free to use?

Yes, this calculator is 100% free and does not require any registration or subscription.

Is it mobile-friendly?

Absolutely! Our tool is optimized for all devices, including mobile phones, tablets, and desktop computers.