GCD of 640, 361, 398, 676 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 640, 361, 398, 676 i.e. 1 largest integer that divides all the numbers equally.

GCD of 640, 361, 398, 676 is 1

GCD(640, 361, 398, 676) = 1

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

GCD of

GCD of numbers 640, 361, 398, 676 is 1

GCD(640, 361, 398, 676) = 1

GCD of 640,361,398,676 Calculator

GCDof 640,361,398,676 is 1

Given Input numbers are 640, 361, 398, 676

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

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 640, 361, 398, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 361, 398, 676 is 1.

Therefore, GCD of numbers 640, 361, 398, 676 is 1

Finding GCD of 640, 361, 398, 676 using Prime Factorization

Given Input Data is 640, 361, 398, 676

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

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 398 is 2 x 199

Prime Factorization of 676 is 2 x 2 x 13 x 13

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

Finding GCD of 640, 361, 398, 676 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(640, 361) = 231040

GCD(640, 361) = ( 640 x 361 ) / 231040

GCD(640, 361) = 231040 / 231040

GCD(640, 361) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 640, 361, 398, 676 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 640, 361, 398, 676

1. What is the GCD of 640, 361, 398, 676?

GCD of 640, 361, 398, 676 is 1


2. Where do I get the detailed procedure to find GCD of 640, 361, 398, 676?

You can find a detailed procedure to find GCD of 640, 361, 398, 676 on our page.


3. How to find GCD of 640, 361, 398, 676 on a calculator?

You can find the GCD of 640, 361, 398, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.