Modulo Calculator

Calculate the remainder of a division (modulo operation) for any two numbers.

What Is the Modulo Calculator?

Calculates the remainder when dividing two numbers. Fundamental in cryptography, hash functions, and clock arithmetic.

Formula

a mod b = a − b × floor(a/b)

How to Use

Enter the dividend and divisor.

Example Calculation

17 mod 5 = 2, because 17 = 5 × 3 + 2.

Understanding Modulo

The modulo operation appears in RSA encryption, ISBN check digits, credit card validation (Luhn algorithm), and scheduling.

Frequently Asked Questions

What is modulo used for?

Clock arithmetic, cryptography, hash tables, and checking divisibility.

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