GCD of 82, 513, 380, 491 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 82, 513, 380, 491 i.e. 1 largest integer that divides all the numbers equally.

GCD of 82, 513, 380, 491 is 1

GCD(82, 513, 380, 491) = 1

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

GCD of

GCD of numbers 82, 513, 380, 491 is 1

GCD(82, 513, 380, 491) = 1

GCD of 82,513,380,491 Calculator

GCDof 82,513,380,491 is 1

Given Input numbers are 82, 513, 380, 491

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

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 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 82, 513, 380, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 513, 380, 491 is 1.

Therefore, GCD of numbers 82, 513, 380, 491 is 1

Finding GCD of 82, 513, 380, 491 using Prime Factorization

Given Input Data is 82, 513, 380, 491

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 513 is 3 x 3 x 3 x 19

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

Prime Factorization of 491 is 491

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

Finding GCD of 82, 513, 380, 491 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(82, 513) = 42066

GCD(82, 513) = ( 82 x 513 ) / 42066

GCD(82, 513) = 42066 / 42066

GCD(82, 513) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 82, 513, 380, 491 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 82, 513, 380, 491

1. What is the GCD of 82, 513, 380, 491?

GCD of 82, 513, 380, 491 is 1


2. Where do I get the detailed procedure to find GCD of 82, 513, 380, 491?

You can find a detailed procedure to find GCD of 82, 513, 380, 491 on our page.


3. How to find GCD of 82, 513, 380, 491 on a calculator?

You can find the GCD of 82, 513, 380, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.