GCD of 508, 787, 491, 221 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 508, 787, 491, 221 i.e. 1 largest integer that divides all the numbers equally.

GCD of 508, 787, 491, 221 is 1

GCD(508, 787, 491, 221) = 1

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

GCD of

GCD of numbers 508, 787, 491, 221 is 1

GCD(508, 787, 491, 221) = 1

GCD of 508,787,491,221 Calculator

GCDof 508,787,491,221 is 1

Given Input numbers are 508, 787, 491, 221

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 491

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

1, 491

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 508, 787, 491, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 787, 491, 221 is 1.

Therefore, GCD of numbers 508, 787, 491, 221 is 1

Finding GCD of 508, 787, 491, 221 using Prime Factorization

Given Input Data is 508, 787, 491, 221

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 787 is 787

Prime Factorization of 491 is 491

Prime Factorization of 221 is 13 x 17

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

Finding GCD of 508, 787, 491, 221 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(508, 787) = 399796

GCD(508, 787) = ( 508 x 787 ) / 399796

GCD(508, 787) = 399796 / 399796

GCD(508, 787) = 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 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 508, 787, 491, 221 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 508, 787, 491, 221

1. What is the GCD of 508, 787, 491, 221?

GCD of 508, 787, 491, 221 is 1


2. Where do I get the detailed procedure to find GCD of 508, 787, 491, 221?

You can find a detailed procedure to find GCD of 508, 787, 491, 221 on our page.


3. How to find GCD of 508, 787, 491, 221 on a calculator?

You can find the GCD of 508, 787, 491, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.