GCD of 331, 208, 649, 220 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 331, 208, 649, 220 i.e. 1 largest integer that divides all the numbers equally.

GCD of 331, 208, 649, 220 is 1

GCD(331, 208, 649, 220) = 1

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

GCD of

GCD of numbers 331, 208, 649, 220 is 1

GCD(331, 208, 649, 220) = 1

GCD of 331,208,649,220 Calculator

GCDof 331,208,649,220 is 1

Given Input numbers are 331, 208, 649, 220

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 331, 208, 649, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 208, 649, 220 is 1.

Therefore, GCD of numbers 331, 208, 649, 220 is 1

Finding GCD of 331, 208, 649, 220 using Prime Factorization

Given Input Data is 331, 208, 649, 220

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

Prime Factorization of 331 is 331

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 649 is 11 x 59

Prime Factorization of 220 is 2 x 2 x 5 x 11

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

Finding GCD of 331, 208, 649, 220 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(331, 208) = 68848

GCD(331, 208) = ( 331 x 208 ) / 68848

GCD(331, 208) = 68848 / 68848

GCD(331, 208) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 331, 208, 649, 220 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 331, 208, 649, 220

1. What is the GCD of 331, 208, 649, 220?

GCD of 331, 208, 649, 220 is 1


2. Where do I get the detailed procedure to find GCD of 331, 208, 649, 220?

You can find a detailed procedure to find GCD of 331, 208, 649, 220 on our page.


3. How to find GCD of 331, 208, 649, 220 on a calculator?

You can find the GCD of 331, 208, 649, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.