GCD of 506, 961, 231, 975 Calculator

Given Input numbers are 506, 961, 231, 975

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 961

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

1, 31, 961

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 506, 961, 231, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 961, 231, 975 is 1.

Therefore, GCD of numbers 506, 961, 231, 975 is 1

Given Input Data is 506, 961, 231, 975

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 961 is 31 x 31

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(506, 961) = 486266

GCD(506, 961) = ( 506 x 961 ) / 486266

GCD(506, 961) = 486266 / 486266

GCD(506, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 506, 961, 231, 975 is 1

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1. What is the GCD of 506, 961, 231, 975?

GCD of 506, 961, 231, 975 is 1

2. Where do I get the detailed procedure to find GCD of 506, 961, 231, 975?

You can find a detailed procedure to find GCD of 506, 961, 231, 975 on our page.

3. How to find GCD of 506, 961, 231, 975 on a calculator?

You can find the GCD of 506, 961, 231, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.