GCD of 228, 655, 61, 398 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 228, 655, 61, 398 i.e. 1 largest integer that divides all the numbers equally.

GCD of 228, 655, 61, 398 is 1

GCD(228, 655, 61, 398) = 1

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

GCD of

GCD of numbers 228, 655, 61, 398 is 1

GCD(228, 655, 61, 398) = 1

GCD of 228,655,61,398 Calculator

GCDof 228,655,61,398 is 1

Given Input numbers are 228, 655, 61, 398

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 398

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

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 228, 655, 61, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 655, 61, 398 is 1.

Therefore, GCD of numbers 228, 655, 61, 398 is 1

Finding GCD of 228, 655, 61, 398 using Prime Factorization

Given Input Data is 228, 655, 61, 398

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 655 is 5 x 131

Prime Factorization of 61 is 61

Prime Factorization of 398 is 2 x 199

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

Finding GCD of 228, 655, 61, 398 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(228, 655) = 149340

GCD(228, 655) = ( 228 x 655 ) / 149340

GCD(228, 655) = 149340 / 149340

GCD(228, 655) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1


Step3:

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

GCD of 228, 655, 61, 398 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 228, 655, 61, 398

1. What is the GCD of 228, 655, 61, 398?

GCD of 228, 655, 61, 398 is 1


2. Where do I get the detailed procedure to find GCD of 228, 655, 61, 398?

You can find a detailed procedure to find GCD of 228, 655, 61, 398 on our page.


3. How to find GCD of 228, 655, 61, 398 on a calculator?

You can find the GCD of 228, 655, 61, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.