GCD of 921, 809, 90, 703 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 921, 809, 90, 703 i.e. 1 largest integer that divides all the numbers equally.

GCD of 921, 809, 90, 703 is 1

GCD(921, 809, 90, 703) = 1

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

GCD of

GCD of numbers 921, 809, 90, 703 is 1

GCD(921, 809, 90, 703) = 1

GCD of 921,809,90,703 Calculator

GCDof 921,809,90,703 is 1

Given Input numbers are 921, 809, 90, 703

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 921, 809, 90, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 809, 90, 703 is 1.

Therefore, GCD of numbers 921, 809, 90, 703 is 1

Finding GCD of 921, 809, 90, 703 using Prime Factorization

Given Input Data is 921, 809, 90, 703

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 809 is 809

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 703 is 19 x 37

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

Finding GCD of 921, 809, 90, 703 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(921, 809) = 745089

GCD(921, 809) = ( 921 x 809 ) / 745089

GCD(921, 809) = 745089 / 745089

GCD(921, 809) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 921, 809, 90, 703 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 921, 809, 90, 703

1. What is the GCD of 921, 809, 90, 703?

GCD of 921, 809, 90, 703 is 1


2. Where do I get the detailed procedure to find GCD of 921, 809, 90, 703?

You can find a detailed procedure to find GCD of 921, 809, 90, 703 on our page.


3. How to find GCD of 921, 809, 90, 703 on a calculator?

You can find the GCD of 921, 809, 90, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.