Web Reference: This notation is not to be confused with the notation b mod m (without parentheses), which refers to the remainder of b when divided by m, known as the modulo operation: that is, b mod m denotes the unique integer r such that 0 ≤ r < m and r ≡ b (mod m). Sep 3, 2025 · The modular inverse of a mod m exists only if a and m are relatively prime i.e. gcd (a, m) = 1. Hence, for finding the inverse of a under modulo m, if (a x b) mod m = 1 then b is the Modular Inverse of a. The modulo operation finds the remainder of a divided by b. To do this by hand just divide two numbers and note the remainder. If you needed to find 27 mod 6, divide 27 by 6. 1. 27 mod 6 = ? 2. 27 ÷ 6 = 4 with a remainder of 3 3. 27 mod 6 = 3
YouTube Excerpt: Basic congruence introduction in modular arithmetic. We will go over 3 ways to interpret a ≡ b (
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