GCD of 654, 206, 297 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 654, 206, 297 i.e. 1 largest integer that divides all the numbers equally.

GCD of 654, 206, 297 is 1

GCD(654, 206, 297) = 1

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

GCD of

GCD of numbers 654, 206, 297 is 1

GCD(654, 206, 297) = 1

GCD of 654,206,297 Calculator

GCDof 654,206,297 is 1

Given Input numbers are 654, 206, 297

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 206

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

1, 2, 103, 206

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 654, 206, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 206, 297 is 1.

Therefore, GCD of numbers 654, 206, 297 is 1

Finding GCD of 654, 206, 297 using Prime Factorization

Given Input Data is 654, 206, 297

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 206 is 2 x 103

Prime Factorization of 297 is 3 x 3 x 3 x 11

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

Finding GCD of 654, 206, 297 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(654, 206) = 67362

GCD(654, 206) = ( 654 x 206 ) / 67362

GCD(654, 206) = 134724 / 67362

GCD(654, 206) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 297

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

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

GCD(2, 297) = 594 / 594

GCD(2, 297) = 1

GCD of 654, 206, 297 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 654, 206, 297

1. What is the GCD of 654, 206, 297?

GCD of 654, 206, 297 is 1


2. Where do I get the detailed procedure to find GCD of 654, 206, 297?

You can find a detailed procedure to find GCD of 654, 206, 297 on our page.


3. How to find GCD of 654, 206, 297 on a calculator?

You can find the GCD of 654, 206, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.