GCD of 855, 572, 518, 961 Calculator

Given Input numbers are 855, 572, 518, 961

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

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 855, 572, 518, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 572, 518, 961 is 1.

Therefore, GCD of numbers 855, 572, 518, 961 is 1

Given Input Data is 855, 572, 518, 961

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 518 is 2 x 7 x 37

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(855, 572) = 489060

GCD(855, 572) = ( 855 x 572 ) / 489060

GCD(855, 572) = 489060 / 489060

GCD(855, 572) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

Step3:

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

GCD of 855, 572, 518, 961 is 1

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1. What is the GCD of 855, 572, 518, 961?

GCD of 855, 572, 518, 961 is 1

2. Where do I get the detailed procedure to find GCD of 855, 572, 518, 961?

You can find a detailed procedure to find GCD of 855, 572, 518, 961 on our page.

3. How to find GCD of 855, 572, 518, 961 on a calculator?

You can find the GCD of 855, 572, 518, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.