GCD of 991, 839, 76, 983 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 991, 839, 76, 983 i.e. 1 largest integer that divides all the numbers equally.

GCD of 991, 839, 76, 983 is 1

GCD(991, 839, 76, 983) = 1

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

GCD of

GCD of numbers 991, 839, 76, 983 is 1

GCD(991, 839, 76, 983) = 1

GCD of 991,839,76,983 Calculator

GCDof 991,839,76,983 is 1

Given Input numbers are 991, 839, 76, 983

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 991, 839, 76, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 839, 76, 983 is 1.

Therefore, GCD of numbers 991, 839, 76, 983 is 1

Finding GCD of 991, 839, 76, 983 using Prime Factorization

Given Input Data is 991, 839, 76, 983

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

Prime Factorization of 991 is 991

Prime Factorization of 839 is 839

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 983 is 983

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

Finding GCD of 991, 839, 76, 983 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(991, 839) = 831449

GCD(991, 839) = ( 991 x 839 ) / 831449

GCD(991, 839) = 831449 / 831449

GCD(991, 839) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

GCD of 991, 839, 76, 983 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 991, 839, 76, 983

1. What is the GCD of 991, 839, 76, 983?

GCD of 991, 839, 76, 983 is 1


2. Where do I get the detailed procedure to find GCD of 991, 839, 76, 983?

You can find a detailed procedure to find GCD of 991, 839, 76, 983 on our page.


3. How to find GCD of 991, 839, 76, 983 on a calculator?

You can find the GCD of 991, 839, 76, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.