GCD of 983, 774, 209, 168 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, 774, 209, 168 i.e. 1 largest integer that divides all the numbers equally.

GCD of 983, 774, 209, 168 is 1

GCD(983, 774, 209, 168) = 1

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

GCD of

GCD of numbers 983, 774, 209, 168 is 1

GCD(983, 774, 209, 168) = 1

GCD of 983,774,209,168 Calculator

GCDof 983,774,209,168 is 1

Given Input numbers are 983, 774, 209, 168

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 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Greatest Common Divisior

We found the divisors of 983, 774, 209, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 774, 209, 168 is 1.

Therefore, GCD of numbers 983, 774, 209, 168 is 1

Finding GCD of 983, 774, 209, 168 using Prime Factorization

Given Input Data is 983, 774, 209, 168

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

Prime Factorization of 983 is 983

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 209 is 11 x 19

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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

Finding GCD of 983, 774, 209, 168 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, 774) = 760842

GCD(983, 774) = ( 983 x 774 ) / 760842

GCD(983, 774) = 760842 / 760842

GCD(983, 774) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

GCD of 983, 774, 209, 168 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 983, 774, 209, 168

1. What is the GCD of 983, 774, 209, 168?

GCD of 983, 774, 209, 168 is 1


2. Where do I get the detailed procedure to find GCD of 983, 774, 209, 168?

You can find a detailed procedure to find GCD of 983, 774, 209, 168 on our page.


3. How to find GCD of 983, 774, 209, 168 on a calculator?

You can find the GCD of 983, 774, 209, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.