GCD of 191, 808, 961, 557 Calculator

Given Input numbers are 191, 808, 961, 557

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

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 961

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

1, 31, 961

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 191, 808, 961, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 191, 808, 961, 557 is 1.

Therefore, GCD of numbers 191, 808, 961, 557 is 1

Given Input Data is 191, 808, 961, 557

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

Prime Factorization of 191 is 191

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 961 is 31 x 31

Prime Factorization of 557 is 557

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(191, 808) = 154328

GCD(191, 808) = ( 191 x 808 ) / 154328

GCD(191, 808) = 154328 / 154328

GCD(191, 808) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 191, 808, 961, 557 is 1

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1. What is the GCD of 191, 808, 961, 557?

GCD of 191, 808, 961, 557 is 1

2. Where do I get the detailed procedure to find GCD of 191, 808, 961, 557?

You can find a detailed procedure to find GCD of 191, 808, 961, 557 on our page.

3. How to find GCD of 191, 808, 961, 557 on a calculator?

You can find the GCD of 191, 808, 961, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.