GCD of 699, 431, 330, 716 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 699, 431, 330, 716 i.e. 1 largest integer that divides all the numbers equally.

GCD of 699, 431, 330, 716 is 1

GCD(699, 431, 330, 716) = 1

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

GCD of

GCD of numbers 699, 431, 330, 716 is 1

GCD(699, 431, 330, 716) = 1

GCD of 699,431,330,716 Calculator

GCDof 699,431,330,716 is 1

Given Input numbers are 699, 431, 330, 716

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 699, 431, 330, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 431, 330, 716 is 1.

Therefore, GCD of numbers 699, 431, 330, 716 is 1

Finding GCD of 699, 431, 330, 716 using Prime Factorization

Given Input Data is 699, 431, 330, 716

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 431 is 431

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 716 is 2 x 2 x 179

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

Finding GCD of 699, 431, 330, 716 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(699, 431) = 301269

GCD(699, 431) = ( 699 x 431 ) / 301269

GCD(699, 431) = 301269 / 301269

GCD(699, 431) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 699, 431, 330, 716 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 699, 431, 330, 716

1. What is the GCD of 699, 431, 330, 716?

GCD of 699, 431, 330, 716 is 1


2. Where do I get the detailed procedure to find GCD of 699, 431, 330, 716?

You can find a detailed procedure to find GCD of 699, 431, 330, 716 on our page.


3. How to find GCD of 699, 431, 330, 716 on a calculator?

You can find the GCD of 699, 431, 330, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.