GCD of 775, 422, 820, 341 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 775, 422, 820, 341 i.e. 1 largest integer that divides all the numbers equally.

GCD of 775, 422, 820, 341 is 1

GCD(775, 422, 820, 341) = 1

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

GCD of

GCD of numbers 775, 422, 820, 341 is 1

GCD(775, 422, 820, 341) = 1

GCD of 775,422,820,341 Calculator

GCDof 775,422,820,341 is 1

Given Input numbers are 775, 422, 820, 341

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

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 422

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

1, 2, 211, 422

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 775, 422, 820, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 422, 820, 341 is 1.

Therefore, GCD of numbers 775, 422, 820, 341 is 1

Finding GCD of 775, 422, 820, 341 using Prime Factorization

Given Input Data is 775, 422, 820, 341

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

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 422 is 2 x 211

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 341 is 11 x 31

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

Finding GCD of 775, 422, 820, 341 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(775, 422) = 327050

GCD(775, 422) = ( 775 x 422 ) / 327050

GCD(775, 422) = 327050 / 327050

GCD(775, 422) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 775, 422, 820, 341 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 775, 422, 820, 341

1. What is the GCD of 775, 422, 820, 341?

GCD of 775, 422, 820, 341 is 1


2. Where do I get the detailed procedure to find GCD of 775, 422, 820, 341?

You can find a detailed procedure to find GCD of 775, 422, 820, 341 on our page.


3. How to find GCD of 775, 422, 820, 341 on a calculator?

You can find the GCD of 775, 422, 820, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.