GCD of 826, 759, 307, 364 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 826, 759, 307, 364 i.e. 1 largest integer that divides all the numbers equally.

GCD of 826, 759, 307, 364 is 1

GCD(826, 759, 307, 364) = 1

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

GCD of

GCD of numbers 826, 759, 307, 364 is 1

GCD(826, 759, 307, 364) = 1

GCD of 826,759,307,364 Calculator

GCDof 826,759,307,364 is 1

Given Input numbers are 826, 759, 307, 364

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

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 826, 759, 307, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 759, 307, 364 is 1.

Therefore, GCD of numbers 826, 759, 307, 364 is 1

Finding GCD of 826, 759, 307, 364 using Prime Factorization

Given Input Data is 826, 759, 307, 364

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 307 is 307

Prime Factorization of 364 is 2 x 2 x 7 x 13

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

Finding GCD of 826, 759, 307, 364 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(826, 759) = 626934

GCD(826, 759) = ( 826 x 759 ) / 626934

GCD(826, 759) = 626934 / 626934

GCD(826, 759) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 826, 759, 307, 364 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 826, 759, 307, 364

1. What is the GCD of 826, 759, 307, 364?

GCD of 826, 759, 307, 364 is 1


2. Where do I get the detailed procedure to find GCD of 826, 759, 307, 364?

You can find a detailed procedure to find GCD of 826, 759, 307, 364 on our page.


3. How to find GCD of 826, 759, 307, 364 on a calculator?

You can find the GCD of 826, 759, 307, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.