GCD of 501, 321, 61, 831 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 501, 321, 61, 831 i.e. 1 largest integer that divides all the numbers equally.

GCD of 501, 321, 61, 831 is 1

GCD(501, 321, 61, 831) = 1

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

GCD of

GCD of numbers 501, 321, 61, 831 is 1

GCD(501, 321, 61, 831) = 1

GCD of 501,321,61,831 Calculator

GCDof 501,321,61,831 is 1

Given Input numbers are 501, 321, 61, 831

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

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 501, 321, 61, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 321, 61, 831 is 1.

Therefore, GCD of numbers 501, 321, 61, 831 is 1

Finding GCD of 501, 321, 61, 831 using Prime Factorization

Given Input Data is 501, 321, 61, 831

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 321 is 3 x 107

Prime Factorization of 61 is 61

Prime Factorization of 831 is 3 x 277

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

Finding GCD of 501, 321, 61, 831 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(501, 321) = 53607

GCD(501, 321) = ( 501 x 321 ) / 53607

GCD(501, 321) = 160821 / 53607

GCD(501, 321) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 61

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

LCM(3, 61) = 183

GCD(3, 61) = ( 3 x 61 ) / 183

GCD(3, 61) = 183 / 183

GCD(3, 61) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 501, 321, 61, 831 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 501, 321, 61, 831

1. What is the GCD of 501, 321, 61, 831?

GCD of 501, 321, 61, 831 is 1


2. Where do I get the detailed procedure to find GCD of 501, 321, 61, 831?

You can find a detailed procedure to find GCD of 501, 321, 61, 831 on our page.


3. How to find GCD of 501, 321, 61, 831 on a calculator?

You can find the GCD of 501, 321, 61, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.