GCD of 809, 964, 223, 738 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 809, 964, 223, 738 i.e. 1 largest integer that divides all the numbers equally.

GCD of 809, 964, 223, 738 is 1

GCD(809, 964, 223, 738) = 1

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

GCD of

GCD of numbers 809, 964, 223, 738 is 1

GCD(809, 964, 223, 738) = 1

GCD of 809,964,223,738 Calculator

GCDof 809,964,223,738 is 1

Given Input numbers are 809, 964, 223, 738

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

Divisors of 809

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

1, 809

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 809, 964, 223, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 964, 223, 738 is 1.

Therefore, GCD of numbers 809, 964, 223, 738 is 1

Finding GCD of 809, 964, 223, 738 using Prime Factorization

Given Input Data is 809, 964, 223, 738

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

Prime Factorization of 809 is 809

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 223 is 223

Prime Factorization of 738 is 2 x 3 x 3 x 41

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

Finding GCD of 809, 964, 223, 738 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(809, 964) = 779876

GCD(809, 964) = ( 809 x 964 ) / 779876

GCD(809, 964) = 779876 / 779876

GCD(809, 964) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 809, 964, 223, 738 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 809, 964, 223, 738

1. What is the GCD of 809, 964, 223, 738?

GCD of 809, 964, 223, 738 is 1


2. Where do I get the detailed procedure to find GCD of 809, 964, 223, 738?

You can find a detailed procedure to find GCD of 809, 964, 223, 738 on our page.


3. How to find GCD of 809, 964, 223, 738 on a calculator?

You can find the GCD of 809, 964, 223, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.