GCD of 981, 506, 808, 270 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 981, 506, 808, 270 i.e. 1 largest integer that divides all the numbers equally.

GCD of 981, 506, 808, 270 is 1

GCD(981, 506, 808, 270) = 1

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

GCD of

GCD of numbers 981, 506, 808, 270 is 1

GCD(981, 506, 808, 270) = 1

GCD of 981,506,808,270 Calculator

GCDof 981,506,808,270 is 1

Given Input numbers are 981, 506, 808, 270

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

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 981, 506, 808, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 506, 808, 270 is 1.

Therefore, GCD of numbers 981, 506, 808, 270 is 1

Finding GCD of 981, 506, 808, 270 using Prime Factorization

Given Input Data is 981, 506, 808, 270

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

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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

Finding GCD of 981, 506, 808, 270 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(981, 506) = 496386

GCD(981, 506) = ( 981 x 506 ) / 496386

GCD(981, 506) = 496386 / 496386

GCD(981, 506) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 981, 506, 808, 270 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 981, 506, 808, 270

1. What is the GCD of 981, 506, 808, 270?

GCD of 981, 506, 808, 270 is 1


2. Where do I get the detailed procedure to find GCD of 981, 506, 808, 270?

You can find a detailed procedure to find GCD of 981, 506, 808, 270 on our page.


3. How to find GCD of 981, 506, 808, 270 on a calculator?

You can find the GCD of 981, 506, 808, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.