GCD of 709, 485, 279, 198 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 709, 485, 279, 198 i.e. 1 largest integer that divides all the numbers equally.

GCD of 709, 485, 279, 198 is 1

GCD(709, 485, 279, 198) = 1

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

GCD of

GCD of numbers 709, 485, 279, 198 is 1

GCD(709, 485, 279, 198) = 1

GCD of 709,485,279,198 Calculator

GCDof 709,485,279,198 is 1

Given Input numbers are 709, 485, 279, 198

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

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 709, 485, 279, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 485, 279, 198 is 1.

Therefore, GCD of numbers 709, 485, 279, 198 is 1

Finding GCD of 709, 485, 279, 198 using Prime Factorization

Given Input Data is 709, 485, 279, 198

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

Prime Factorization of 709 is 709

Prime Factorization of 485 is 5 x 97

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 198 is 2 x 3 x 3 x 11

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

Finding GCD of 709, 485, 279, 198 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(709, 485) = 343865

GCD(709, 485) = ( 709 x 485 ) / 343865

GCD(709, 485) = 343865 / 343865

GCD(709, 485) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 709, 485, 279, 198 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 709, 485, 279, 198

1. What is the GCD of 709, 485, 279, 198?

GCD of 709, 485, 279, 198 is 1


2. Where do I get the detailed procedure to find GCD of 709, 485, 279, 198?

You can find a detailed procedure to find GCD of 709, 485, 279, 198 on our page.


3. How to find GCD of 709, 485, 279, 198 on a calculator?

You can find the GCD of 709, 485, 279, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.