GCD of 981, 271, 17, 772 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, 271, 17, 772 i.e. 1 largest integer that divides all the numbers equally.

GCD of 981, 271, 17, 772 is 1

GCD(981, 271, 17, 772) = 1

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

GCD of

GCD of numbers 981, 271, 17, 772 is 1

GCD(981, 271, 17, 772) = 1

GCD of 981,271,17,772 Calculator

GCDof 981,271,17,772 is 1

Given Input numbers are 981, 271, 17, 772

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 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 981, 271, 17, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 271, 17, 772 is 1.

Therefore, GCD of numbers 981, 271, 17, 772 is 1

Finding GCD of 981, 271, 17, 772 using Prime Factorization

Given Input Data is 981, 271, 17, 772

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 271 is 271

Prime Factorization of 17 is 17

Prime Factorization of 772 is 2 x 2 x 193

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

Finding GCD of 981, 271, 17, 772 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, 271) = 265851

GCD(981, 271) = ( 981 x 271 ) / 265851

GCD(981, 271) = 265851 / 265851

GCD(981, 271) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 981, 271, 17, 772 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 981, 271, 17, 772

1. What is the GCD of 981, 271, 17, 772?

GCD of 981, 271, 17, 772 is 1


2. Where do I get the detailed procedure to find GCD of 981, 271, 17, 772?

You can find a detailed procedure to find GCD of 981, 271, 17, 772 on our page.


3. How to find GCD of 981, 271, 17, 772 on a calculator?

You can find the GCD of 981, 271, 17, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.