GCD of 329, 771, 14, 923 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 329, 771, 14, 923 i.e. 1 largest integer that divides all the numbers equally.

GCD of 329, 771, 14, 923 is 1

GCD(329, 771, 14, 923) = 1

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

GCD of

GCD of numbers 329, 771, 14, 923 is 1

GCD(329, 771, 14, 923) = 1

GCD of 329,771,14,923 Calculator

GCDof 329,771,14,923 is 1

Given Input numbers are 329, 771, 14, 923

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

Divisors of 329

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

1, 7, 47, 329

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 329, 771, 14, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 771, 14, 923 is 1.

Therefore, GCD of numbers 329, 771, 14, 923 is 1

Finding GCD of 329, 771, 14, 923 using Prime Factorization

Given Input Data is 329, 771, 14, 923

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

Prime Factorization of 329 is 7 x 47

Prime Factorization of 771 is 3 x 257

Prime Factorization of 14 is 2 x 7

Prime Factorization of 923 is 13 x 71

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

Finding GCD of 329, 771, 14, 923 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(329, 771) = 253659

GCD(329, 771) = ( 329 x 771 ) / 253659

GCD(329, 771) = 253659 / 253659

GCD(329, 771) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 329, 771, 14, 923 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 329, 771, 14, 923

1. What is the GCD of 329, 771, 14, 923?

GCD of 329, 771, 14, 923 is 1


2. Where do I get the detailed procedure to find GCD of 329, 771, 14, 923?

You can find a detailed procedure to find GCD of 329, 771, 14, 923 on our page.


3. How to find GCD of 329, 771, 14, 923 on a calculator?

You can find the GCD of 329, 771, 14, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.