## What is the inverse of modulo?

The modular inverse of A mod C is the B value that makes A * B mod C = 1. Simple!

**What is the inverse of 4 modulo 5?**

For example, the modular inverses of 1, 2, 3, and 4 (mod 5) are 1, 3, 2, and 4.

**What is the inverse of 7 mod 26?**

So, the inverse of 15 modulo 26 is 7 (and the inverse of 7 modulo 26 is 15). Gcd(6, 26) = 2; 6 and 26 are not relatively prime.

### What is the inverse of 7?

Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.

**What is the inverse of 19 MOD 141?**

52

Therefore, the modular inverse of 19 mod 141 is 52. Again we end up with something in the form 1 = sa+tm = 52(19)−7(141) making our inverse 52.

**What is the inverse of 5 mod 7?**

t3 = 6 is the modular multiplicative inverse of 5 × 7 (mod 11).

#### What is the multiplicative inverse of 4 7?

i.e, multiplicative inverse of 4/7 is 7/4.

**What are multiplicative inverse of 7?**

**Are 19 and 141 relatively prime?**

Therefore, 141 and 19 are relatively prime and 19 mod 141 has an inverse.

## How to find the modular inverse of mod c?

A naive method of finding a modular inverse for A (mod C) is: 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 Note that the term B mod C can only have an integer value 0 through C-1, so testing larger values for B is redundant.

**Which is the modular inverse of an integer?**

In modular arithmetic, the modular multiplicative inverse of an integer a modulo m is an integer x such that a x ≡ 1 ( mod m ) . {\\displaystyle a\\,x\\equiv 1 {\\pmod {m}}.} Or in other words, such that: It can be shown that such an inverse exists if and only if a and m are coprime, but we will ignore this for this task.

**Which is modulo inverse of 10 under 17?**

Input: a = 10, m = 17 Output: 12 Since (10*12) mod 17 = 1, 12 is modulo inverse of 10 (under 17). Recommended: Please solve it on “ PRACTICE ” first, before moving on to the solution.

### Which is the best modular multiplicative inverse algorithm?

Modular multiplicative inverse 1 Naive Method, O (m) 2 Extended Euler’s GCD algorithm, O (Log m) [Works when a and m are coprime] 3 Fermat’s Little theorem, O (Log m) [Works when ‘m’ is prime]