How To Find Modular Multiplicative Inverses

By switzerlandersing On Sep 12, 2025

Modular Multiplicative Inverse | PDF | Number Theory | Elementary Mathematics

Modular Multiplicative Inverse | PDF | Number Theory | Elementary Mathematics Given two integers a and m, find the modular multiplicative inverse of a under modulo m. the modular multiplicative inverse is an integer x such that: a x ≡ 1 (mod m). Learn how to use the extended euclidean algorithm to find the modular multiplicative inverse of a number modulo n.

Modular Inverses - Wolfram Demonstrations Project

Modular Inverses - Wolfram Demonstrations Project A modular multiplicative inverse of a modulo m can be found by using the extended euclidean algorithm. the euclidean algorithm determines the greatest common divisor (gcd) of two integers, say a and m. I am looking for a fast way to find the modular multiplicate inverse of an integer $a$ in mod $p$. In modular arithmetic we do not have a division operation. however, we do have modular inverses. step 1. calculate a * b mod c for b values 0 through c 1. step 2. the modular inverse of a mod c is the b value that makes a * b mod c = 1. In this article, we present two methods for finding the modular inverse in case it exists, and one method for finding the modular inverse for all numbers in linear time.

Modular Inverse | PDF | Mathematics | Number Theory

Modular Inverse | PDF | Mathematics | Number Theory In modular arithmetic we do not have a division operation. however, we do have modular inverses. step 1. calculate a * b mod c for b values 0 through c 1. step 2. the modular inverse of a mod c is the b value that makes a * b mod c = 1. In this article, we present two methods for finding the modular inverse in case it exists, and one method for finding the modular inverse for all numbers in linear time. In this video i explain how to find the modular multiplicative inverse of a number, including several examples. How to find modular multiplicative inverse in c asked 8 years, 4 months ago modified 8 years, 4 months ago viewed 10k times. Both of the above methods work for general modulus, not just for a prime modulus (though method 2 may fail in that situation); of course, you can only find multiplicative inverses if the number is relatively prime to the modulus. A modular inverse exists if and only if a and m are coprime (their greatest common divisor is 1). this calculator uses the extended euclidean algorithm to efficiently compute the modular inverse.

Solved 5. [Modular Multiplicative Inverses] Recall That The | Chegg.com

Solved 5. [Modular Multiplicative Inverses] Recall That The | Chegg.com In this video i explain how to find the modular multiplicative inverse of a number, including several examples. How to find modular multiplicative inverse in c asked 8 years, 4 months ago modified 8 years, 4 months ago viewed 10k times. Both of the above methods work for general modulus, not just for a prime modulus (though method 2 may fail in that situation); of course, you can only find multiplicative inverses if the number is relatively prime to the modulus. A modular inverse exists if and only if a and m are coprime (their greatest common divisor is 1). this calculator uses the extended euclidean algorithm to efficiently compute the modular inverse.