GCD of 14, 721, 985, 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 14, 721, 985, 329 i.e. 1 largest integer that divides all the numbers equally.

GCD of 14, 721, 985, 329 is 1

GCD(14, 721, 985, 329) = 1

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

GCD of

GCD of numbers 14, 721, 985, 329 is 1

GCD(14, 721, 985, 329) = 1

GCD of 14,721,985,329 Calculator

GCDof 14,721,985,329 is 1

Given Input numbers are 14, 721, 985, 329

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

Divisors of 14

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

1, 2, 7, 14

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

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 14, 721, 985, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 721, 985, 329 is 1.

Therefore, GCD of numbers 14, 721, 985, 329 is 1

Finding GCD of 14, 721, 985, 329 using Prime Factorization

Given Input Data is 14, 721, 985, 329

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 721 is 7 x 103

Prime Factorization of 985 is 5 x 197

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 14, 721, 985, 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(14, 721) = 1442

GCD(14, 721) = ( 14 x 721 ) / 1442

GCD(14, 721) = 10094 / 1442

GCD(14, 721) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 985

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

LCM(7, 985) = 6895

GCD(7, 985) = ( 7 x 985 ) / 6895

GCD(7, 985) = 6895 / 6895

GCD(7, 985) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

GCD of 14, 721, 985, 329 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 14, 721, 985, 329

1. What is the GCD of 14, 721, 985, 329?

GCD of 14, 721, 985, 329 is 1


2. Where do I get the detailed procedure to find GCD of 14, 721, 985, 329?

You can find a detailed procedure to find GCD of 14, 721, 985, 329 on our page.


3. How to find GCD of 14, 721, 985, 329 on a calculator?

You can find the GCD of 14, 721, 985, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.