GCD of 983, 828, 899 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 983, 828, 899 i.e. 1 largest integer that divides all the numbers equally.

GCD of 983, 828, 899 is 1

GCD(983, 828, 899) = 1

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

GCD of

GCD of numbers 983, 828, 899 is 1

GCD(983, 828, 899) = 1

GCD of 983,828,899 Calculator

GCDof 983,828,899 is 1

Given Input numbers are 983, 828, 899

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

Divisors of 983

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

1, 983

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 983, 828, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 828, 899 is 1.

Therefore, GCD of numbers 983, 828, 899 is 1

Finding GCD of 983, 828, 899 using Prime Factorization

Given Input Data is 983, 828, 899

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

Prime Factorization of 983 is 983

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 899 is 29 x 31

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

Finding GCD of 983, 828, 899 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(983, 828) = 813924

GCD(983, 828) = ( 983 x 828 ) / 813924

GCD(983, 828) = 813924 / 813924

GCD(983, 828) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 983, 828, 899 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 983, 828, 899

1. What is the GCD of 983, 828, 899?

GCD of 983, 828, 899 is 1


2. Where do I get the detailed procedure to find GCD of 983, 828, 899?

You can find a detailed procedure to find GCD of 983, 828, 899 on our page.


3. How to find GCD of 983, 828, 899 on a calculator?

You can find the GCD of 983, 828, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.