GCD of 421, 747, 113, 903 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 421, 747, 113, 903 i.e. 1 largest integer that divides all the numbers equally.

GCD of 421, 747, 113, 903 is 1

GCD(421, 747, 113, 903) = 1

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

GCD of

GCD of numbers 421, 747, 113, 903 is 1

GCD(421, 747, 113, 903) = 1

GCD of 421,747,113,903 Calculator

GCDof 421,747,113,903 is 1

Given Input numbers are 421, 747, 113, 903

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Greatest Common Divisior

We found the divisors of 421, 747, 113, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 747, 113, 903 is 1.

Therefore, GCD of numbers 421, 747, 113, 903 is 1

Finding GCD of 421, 747, 113, 903 using Prime Factorization

Given Input Data is 421, 747, 113, 903

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

Prime Factorization of 421 is 421

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 113 is 113

Prime Factorization of 903 is 3 x 7 x 43

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

Finding GCD of 421, 747, 113, 903 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(421, 747) = 314487

GCD(421, 747) = ( 421 x 747 ) / 314487

GCD(421, 747) = 314487 / 314487

GCD(421, 747) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 903

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

LCM(1, 903) = 903

GCD(1, 903) = ( 1 x 903 ) / 903

GCD(1, 903) = 903 / 903

GCD(1, 903) = 1

GCD of 421, 747, 113, 903 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 421, 747, 113, 903

1. What is the GCD of 421, 747, 113, 903?

GCD of 421, 747, 113, 903 is 1


2. Where do I get the detailed procedure to find GCD of 421, 747, 113, 903?

You can find a detailed procedure to find GCD of 421, 747, 113, 903 on our page.


3. How to find GCD of 421, 747, 113, 903 on a calculator?

You can find the GCD of 421, 747, 113, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.