GCD of 308, 198, 387, 640 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 308, 198, 387, 640 i.e. 1 largest integer that divides all the numbers equally.

GCD of 308, 198, 387, 640 is 1

GCD(308, 198, 387, 640) = 1

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

GCD of

GCD of numbers 308, 198, 387, 640 is 1

GCD(308, 198, 387, 640) = 1

GCD of 308,198,387,640 Calculator

GCDof 308,198,387,640 is 1

Given Input numbers are 308, 198, 387, 640

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Greatest Common Divisior

We found the divisors of 308, 198, 387, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 198, 387, 640 is 1.

Therefore, GCD of numbers 308, 198, 387, 640 is 1

Finding GCD of 308, 198, 387, 640 using Prime Factorization

Given Input Data is 308, 198, 387, 640

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Finding GCD of 308, 198, 387, 640 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(308, 198) = 2772

GCD(308, 198) = ( 308 x 198 ) / 2772

GCD(308, 198) = 60984 / 2772

GCD(308, 198) = 22


Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 387

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

LCM(22, 387) = 8514

GCD(22, 387) = ( 22 x 387 ) / 8514

GCD(22, 387) = 8514 / 8514

GCD(22, 387) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

GCD of 308, 198, 387, 640 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 308, 198, 387, 640

1. What is the GCD of 308, 198, 387, 640?

GCD of 308, 198, 387, 640 is 1


2. Where do I get the detailed procedure to find GCD of 308, 198, 387, 640?

You can find a detailed procedure to find GCD of 308, 198, 387, 640 on our page.


3. How to find GCD of 308, 198, 387, 640 on a calculator?

You can find the GCD of 308, 198, 387, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.