GCD of 764, 106, 36, 329 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 764, 106, 36, 329 i.e. 1 largest integer that divides all the numbers equally.

GCD of 764, 106, 36, 329 is 1

GCD(764, 106, 36, 329) = 1

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

GCD of

GCD of numbers 764, 106, 36, 329 is 1

GCD(764, 106, 36, 329) = 1

GCD of 764,106,36,329 Calculator

GCDof 764,106,36,329 is 1

Given Input numbers are 764, 106, 36, 329

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 764, 106, 36, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 106, 36, 329 is 1.

Therefore, GCD of numbers 764, 106, 36, 329 is 1

Finding GCD of 764, 106, 36, 329 using Prime Factorization

Given Input Data is 764, 106, 36, 329

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 106 is 2 x 53

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 329 is 7 x 47

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

Finding GCD of 764, 106, 36, 329 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(764, 106) = 40492

GCD(764, 106) = ( 764 x 106 ) / 40492

GCD(764, 106) = 80984 / 40492

GCD(764, 106) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 329

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

LCM(2, 329) = 658

GCD(2, 329) = ( 2 x 329 ) / 658

GCD(2, 329) = 658 / 658

GCD(2, 329) = 1

GCD of 764, 106, 36, 329 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 764, 106, 36, 329

1. What is the GCD of 764, 106, 36, 329?

GCD of 764, 106, 36, 329 is 1


2. Where do I get the detailed procedure to find GCD of 764, 106, 36, 329?

You can find a detailed procedure to find GCD of 764, 106, 36, 329 on our page.


3. How to find GCD of 764, 106, 36, 329 on a calculator?

You can find the GCD of 764, 106, 36, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.