GCD of 585, 987, 561, 131 Calculator

Given Input numbers are 585, 987, 561, 131

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

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 585, 987, 561, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 987, 561, 131 is 1.

Therefore, GCD of numbers 585, 987, 561, 131 is 1

Given Input Data is 585, 987, 561, 131

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 131 is 131

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(585, 987) = 192465

GCD(585, 987) = ( 585 x 987 ) / 192465

GCD(585, 987) = 577395 / 192465

GCD(585, 987) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 561

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

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

GCD(3, 561) = 1683 / 561

GCD(3, 561) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 131

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

LCM(3, 131) = 393

GCD(3, 131) = ( 3 x 131 ) / 393

GCD(3, 131) = 393 / 393

GCD(3, 131) = 1

GCD of 585, 987, 561, 131 is 1

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1. What is the GCD of 585, 987, 561, 131?

GCD of 585, 987, 561, 131 is 1

2. Where do I get the detailed procedure to find GCD of 585, 987, 561, 131?

You can find a detailed procedure to find GCD of 585, 987, 561, 131 on our page.

3. How to find GCD of 585, 987, 561, 131 on a calculator?

You can find the GCD of 585, 987, 561, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.