GCD of 206, 395, 734, 720 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 206, 395, 734, 720 i.e. 1 largest integer that divides all the numbers equally.

GCD of 206, 395, 734, 720 is 1

GCD(206, 395, 734, 720) = 1

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

GCD of

GCD of numbers 206, 395, 734, 720 is 1

GCD(206, 395, 734, 720) = 1

GCD of 206,395,734,720 Calculator

GCDof 206,395,734,720 is 1

Given Input numbers are 206, 395, 734, 720

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

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 206, 395, 734, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 395, 734, 720 is 1.

Therefore, GCD of numbers 206, 395, 734, 720 is 1

Finding GCD of 206, 395, 734, 720 using Prime Factorization

Given Input Data is 206, 395, 734, 720

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 395 is 5 x 79

Prime Factorization of 734 is 2 x 367

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Finding GCD of 206, 395, 734, 720 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(206, 395) = 81370

GCD(206, 395) = ( 206 x 395 ) / 81370

GCD(206, 395) = 81370 / 81370

GCD(206, 395) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 206, 395, 734, 720 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 206, 395, 734, 720

1. What is the GCD of 206, 395, 734, 720?

GCD of 206, 395, 734, 720 is 1


2. Where do I get the detailed procedure to find GCD of 206, 395, 734, 720?

You can find a detailed procedure to find GCD of 206, 395, 734, 720 on our page.


3. How to find GCD of 206, 395, 734, 720 on a calculator?

You can find the GCD of 206, 395, 734, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.