GCD of 981, 109, 894 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, 109, 894 i.e. 1 largest integer that divides all the numbers equally.

GCD of 981, 109, 894 is 1

GCD(981, 109, 894) = 1

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

GCD of

GCD of numbers 981, 109, 894 is 1

GCD(981, 109, 894) = 1

GCD of 981,109,894 Calculator

GCDof 981,109,894 is 1

Given Input numbers are 981, 109, 894

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 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 981, 109, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 109, 894 is 1.

Therefore, GCD of numbers 981, 109, 894 is 1

Finding GCD of 981, 109, 894 using Prime Factorization

Given Input Data is 981, 109, 894

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 109 is 109

Prime Factorization of 894 is 2 x 3 x 149

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

Finding GCD of 981, 109, 894 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, 109) = 981

GCD(981, 109) = ( 981 x 109 ) / 981

GCD(981, 109) = 106929 / 981

GCD(981, 109) = 109


Step2:

Here we consider the GCD from the above i.e. 109 as first number and the next as 894

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

LCM(109, 894) = 97446

GCD(109, 894) = ( 109 x 894 ) / 97446

GCD(109, 894) = 97446 / 97446

GCD(109, 894) = 1

GCD of 981, 109, 894 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 981, 109, 894

1. What is the GCD of 981, 109, 894?

GCD of 981, 109, 894 is 1


2. Where do I get the detailed procedure to find GCD of 981, 109, 894?

You can find a detailed procedure to find GCD of 981, 109, 894 on our page.


3. How to find GCD of 981, 109, 894 on a calculator?

You can find the GCD of 981, 109, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.