GCD of 739, 404, 940, 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 739, 404, 940, 983 i.e. 1 largest integer that divides all the numbers equally.

GCD of 739, 404, 940, 983 is 1

GCD(739, 404, 940, 983) = 1

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

GCD of

GCD of numbers 739, 404, 940, 983 is 1

GCD(739, 404, 940, 983) = 1

GCD of 739,404,940,983 Calculator

GCDof 739,404,940,983 is 1

Given Input numbers are 739, 404, 940, 983

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

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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 739, 404, 940, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 404, 940, 983 is 1.

Therefore, GCD of numbers 739, 404, 940, 983 is 1

Finding GCD of 739, 404, 940, 983 using Prime Factorization

Given Input Data is 739, 404, 940, 983

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

Prime Factorization of 739 is 739

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 983 is 983

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

Finding GCD of 739, 404, 940, 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(739, 404) = 298556

GCD(739, 404) = ( 739 x 404 ) / 298556

GCD(739, 404) = 298556 / 298556

GCD(739, 404) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 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 739, 404, 940, 983 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 739, 404, 940, 983

1. What is the GCD of 739, 404, 940, 983?

GCD of 739, 404, 940, 983 is 1


2. Where do I get the detailed procedure to find GCD of 739, 404, 940, 983?

You can find a detailed procedure to find GCD of 739, 404, 940, 983 on our page.


3. How to find GCD of 739, 404, 940, 983 on a calculator?

You can find the GCD of 739, 404, 940, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.