GCD of 318, 228, 195, 961 Calculator

Given Input numbers are 318, 228, 195, 961

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

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 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 318, 228, 195, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 228, 195, 961 is 1.

Therefore, GCD of numbers 318, 228, 195, 961 is 1

Given Input Data is 318, 228, 195, 961

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

Prime Factorization of 318 is 2 x 3 x 53

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 961 is 31 x 31

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

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(318, 228) = 12084

GCD(318, 228) = ( 318 x 228 ) / 12084

GCD(318, 228) = 72504 / 12084

GCD(318, 228) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 195

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

LCM(6, 195) = 390

GCD(6, 195) = ( 6 x 195 ) / 390

GCD(6, 195) = 1170 / 390

GCD(6, 195) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 961

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

LCM(3, 961) = 2883

GCD(3, 961) = ( 3 x 961 ) / 2883

GCD(3, 961) = 2883 / 2883

GCD(3, 961) = 1

GCD of 318, 228, 195, 961 is 1

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1. What is the GCD of 318, 228, 195, 961?

GCD of 318, 228, 195, 961 is 1

2. Where do I get the detailed procedure to find GCD of 318, 228, 195, 961?

You can find a detailed procedure to find GCD of 318, 228, 195, 961 on our page.

3. How to find GCD of 318, 228, 195, 961 on a calculator?

You can find the GCD of 318, 228, 195, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.