GCD of 731, 842, 491, 563 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 731, 842, 491, 563 i.e. 1 largest integer that divides all the numbers equally.

GCD of 731, 842, 491, 563 is 1

GCD(731, 842, 491, 563) = 1

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

GCD of

GCD of numbers 731, 842, 491, 563 is 1

GCD(731, 842, 491, 563) = 1

GCD of 731,842,491,563 Calculator

GCDof 731,842,491,563 is 1

Given Input numbers are 731, 842, 491, 563

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 491

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

1, 491

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 731, 842, 491, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 842, 491, 563 is 1.

Therefore, GCD of numbers 731, 842, 491, 563 is 1

Finding GCD of 731, 842, 491, 563 using Prime Factorization

Given Input Data is 731, 842, 491, 563

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 842 is 2 x 421

Prime Factorization of 491 is 491

Prime Factorization of 563 is 563

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

Finding GCD of 731, 842, 491, 563 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(731, 842) = 615502

GCD(731, 842) = ( 731 x 842 ) / 615502

GCD(731, 842) = 615502 / 615502

GCD(731, 842) = 1


Step2:

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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 731, 842, 491, 563 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 731, 842, 491, 563

1. What is the GCD of 731, 842, 491, 563?

GCD of 731, 842, 491, 563 is 1


2. Where do I get the detailed procedure to find GCD of 731, 842, 491, 563?

You can find a detailed procedure to find GCD of 731, 842, 491, 563 on our page.


3. How to find GCD of 731, 842, 491, 563 on a calculator?

You can find the GCD of 731, 842, 491, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.