GCD of 491, 497, 52, 361 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 491, 497, 52, 361 i.e. 1 largest integer that divides all the numbers equally.

GCD of 491, 497, 52, 361 is 1

GCD(491, 497, 52, 361) = 1

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

GCD of

GCD of numbers 491, 497, 52, 361 is 1

GCD(491, 497, 52, 361) = 1

GCD of 491,497,52,361 Calculator

GCDof 491,497,52,361 is 1

Given Input numbers are 491, 497, 52, 361

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

Divisors of 491

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

1, 491

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 491, 497, 52, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 497, 52, 361 is 1.

Therefore, GCD of numbers 491, 497, 52, 361 is 1

Finding GCD of 491, 497, 52, 361 using Prime Factorization

Given Input Data is 491, 497, 52, 361

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

Prime Factorization of 491 is 491

Prime Factorization of 497 is 7 x 71

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 361 is 19 x 19

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

Finding GCD of 491, 497, 52, 361 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(491, 497) = 244027

GCD(491, 497) = ( 491 x 497 ) / 244027

GCD(491, 497) = 244027 / 244027

GCD(491, 497) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 491, 497, 52, 361 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 491, 497, 52, 361

1. What is the GCD of 491, 497, 52, 361?

GCD of 491, 497, 52, 361 is 1


2. Where do I get the detailed procedure to find GCD of 491, 497, 52, 361?

You can find a detailed procedure to find GCD of 491, 497, 52, 361 on our page.


3. How to find GCD of 491, 497, 52, 361 on a calculator?

You can find the GCD of 491, 497, 52, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.