GCD of 820, 165, 57, 211 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 820, 165, 57, 211 i.e. 1 largest integer that divides all the numbers equally.

GCD of 820, 165, 57, 211 is 1

GCD(820, 165, 57, 211) = 1

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

GCD of

GCD of numbers 820, 165, 57, 211 is 1

GCD(820, 165, 57, 211) = 1

GCD of 820,165,57,211 Calculator

GCDof 820,165,57,211 is 1

Given Input numbers are 820, 165, 57, 211

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

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 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 820, 165, 57, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 165, 57, 211 is 1.

Therefore, GCD of numbers 820, 165, 57, 211 is 1

Finding GCD of 820, 165, 57, 211 using Prime Factorization

Given Input Data is 820, 165, 57, 211

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

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 57 is 3 x 19

Prime Factorization of 211 is 211

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

Finding GCD of 820, 165, 57, 211 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(820, 165) = 27060

GCD(820, 165) = ( 820 x 165 ) / 27060

GCD(820, 165) = 135300 / 27060

GCD(820, 165) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 57

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

LCM(5, 57) = 285

GCD(5, 57) = ( 5 x 57 ) / 285

GCD(5, 57) = 285 / 285

GCD(5, 57) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 211

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

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

GCD(1, 211) = 211 / 211

GCD(1, 211) = 1

GCD of 820, 165, 57, 211 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 820, 165, 57, 211

1. What is the GCD of 820, 165, 57, 211?

GCD of 820, 165, 57, 211 is 1


2. Where do I get the detailed procedure to find GCD of 820, 165, 57, 211?

You can find a detailed procedure to find GCD of 820, 165, 57, 211 on our page.


3. How to find GCD of 820, 165, 57, 211 on a calculator?

You can find the GCD of 820, 165, 57, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.