GCD of 787, 421, 71, 303 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 787, 421, 71, 303 i.e. 1 largest integer that divides all the numbers equally.

GCD of 787, 421, 71, 303 is 1

GCD(787, 421, 71, 303) = 1

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

GCD of

GCD of numbers 787, 421, 71, 303 is 1

GCD(787, 421, 71, 303) = 1

GCD of 787,421,71,303 Calculator

GCDof 787,421,71,303 is 1

Given Input numbers are 787, 421, 71, 303

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

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 421

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

1, 421

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 787, 421, 71, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 421, 71, 303 is 1.

Therefore, GCD of numbers 787, 421, 71, 303 is 1

Finding GCD of 787, 421, 71, 303 using Prime Factorization

Given Input Data is 787, 421, 71, 303

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

Prime Factorization of 787 is 787

Prime Factorization of 421 is 421

Prime Factorization of 71 is 71

Prime Factorization of 303 is 3 x 101

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

Finding GCD of 787, 421, 71, 303 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(787, 421) = 331327

GCD(787, 421) = ( 787 x 421 ) / 331327

GCD(787, 421) = 331327 / 331327

GCD(787, 421) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 787, 421, 71, 303 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 787, 421, 71, 303

1. What is the GCD of 787, 421, 71, 303?

GCD of 787, 421, 71, 303 is 1


2. Where do I get the detailed procedure to find GCD of 787, 421, 71, 303?

You can find a detailed procedure to find GCD of 787, 421, 71, 303 on our page.


3. How to find GCD of 787, 421, 71, 303 on a calculator?

You can find the GCD of 787, 421, 71, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.