GCD of 341, 723, 981 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 341, 723, 981 i.e. 1 largest integer that divides all the numbers equally.

GCD of 341, 723, 981 is 1

GCD(341, 723, 981) = 1

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

GCD of

GCD of numbers 341, 723, 981 is 1

GCD(341, 723, 981) = 1

GCD of 341,723,981 Calculator

GCDof 341,723,981 is 1

Given Input numbers are 341, 723, 981

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

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 981

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

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 341, 723, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 723, 981 is 1.

Therefore, GCD of numbers 341, 723, 981 is 1

Finding GCD of 341, 723, 981 using Prime Factorization

Given Input Data is 341, 723, 981

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

Prime Factorization of 341 is 11 x 31

Prime Factorization of 723 is 3 x 241

Prime Factorization of 981 is 3 x 3 x 109

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

Finding GCD of 341, 723, 981 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(341, 723) = 246543

GCD(341, 723) = ( 341 x 723 ) / 246543

GCD(341, 723) = 246543 / 246543

GCD(341, 723) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 341, 723, 981 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 341, 723, 981

1. What is the GCD of 341, 723, 981?

GCD of 341, 723, 981 is 1


2. Where do I get the detailed procedure to find GCD of 341, 723, 981?

You can find a detailed procedure to find GCD of 341, 723, 981 on our page.


3. How to find GCD of 341, 723, 981 on a calculator?

You can find the GCD of 341, 723, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.