GCD of 228, 202, 82, 959 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, 202, 82, 959 i.e. 1 largest integer that divides all the numbers equally.

GCD of 228, 202, 82, 959 is 1

GCD(228, 202, 82, 959) = 1

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

GCD of

GCD of numbers 228, 202, 82, 959 is 1

GCD(228, 202, 82, 959) = 1

GCD of 228,202,82,959 Calculator

GCDof 228,202,82,959 is 1

Given Input numbers are 228, 202, 82, 959

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 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 228, 202, 82, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 202, 82, 959 is 1.

Therefore, GCD of numbers 228, 202, 82, 959 is 1

Finding GCD of 228, 202, 82, 959 using Prime Factorization

Given Input Data is 228, 202, 82, 959

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 202 is 2 x 101

Prime Factorization of 82 is 2 x 41

Prime Factorization of 959 is 7 x 137

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

Finding GCD of 228, 202, 82, 959 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, 202) = 23028

GCD(228, 202) = ( 228 x 202 ) / 23028

GCD(228, 202) = 46056 / 23028

GCD(228, 202) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 959

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

LCM(2, 959) = 1918

GCD(2, 959) = ( 2 x 959 ) / 1918

GCD(2, 959) = 1918 / 1918

GCD(2, 959) = 1

GCD of 228, 202, 82, 959 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 228, 202, 82, 959

1. What is the GCD of 228, 202, 82, 959?

GCD of 228, 202, 82, 959 is 1


2. Where do I get the detailed procedure to find GCD of 228, 202, 82, 959?

You can find a detailed procedure to find GCD of 228, 202, 82, 959 on our page.


3. How to find GCD of 228, 202, 82, 959 on a calculator?

You can find the GCD of 228, 202, 82, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.