GCD of 422, 380, 545 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 422, 380, 545 i.e. 1 largest integer that divides all the numbers equally.

GCD of 422, 380, 545 is 1

GCD(422, 380, 545) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 422, 380, 545 is 1

GCD(422, 380, 545) = 1

GCD of 422,380,545 Calculator

GCDof 422,380,545 is 1

Given Input numbers are 422, 380, 545

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 422, 380, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 380, 545 is 1.

Therefore, GCD of numbers 422, 380, 545 is 1

Finding GCD of 422, 380, 545 using Prime Factorization

Given Input Data is 422, 380, 545

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 422 is 2 x 211

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 545 is 5 x 109

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 422, 380, 545 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(422, 380) = 80180

GCD(422, 380) = ( 422 x 380 ) / 80180

GCD(422, 380) = 160360 / 80180

GCD(422, 380) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 545

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 545) = 1090

GCD(2, 545) = ( 2 x 545 ) / 1090

GCD(2, 545) = 1090 / 1090

GCD(2, 545) = 1

GCD of 422, 380, 545 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 422, 380, 545

1. What is the GCD of 422, 380, 545?

GCD of 422, 380, 545 is 1

2. Where do I get the detailed procedure to find GCD of 422, 380, 545?

You can find a detailed procedure to find GCD of 422, 380, 545 on our page.

3. How to find GCD of 422, 380, 545 on a calculator?

You can find the GCD of 422, 380, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.