GCD of 586, 858, 115, 891 Calculator

Given Input numbers are 586, 858, 115, 891

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

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 586, 858, 115, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 858, 115, 891 is 1.

Therefore, GCD of numbers 586, 858, 115, 891 is 1

Given Input Data is 586, 858, 115, 891

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 115 is 5 x 23

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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(586, 858) = 251394

GCD(586, 858) = ( 586 x 858 ) / 251394

GCD(586, 858) = 502788 / 251394

GCD(586, 858) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 115

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

LCM(2, 115) = 230

GCD(2, 115) = ( 2 x 115 ) / 230

GCD(2, 115) = 230 / 230

GCD(2, 115) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 586, 858, 115, 891 is 1

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1. What is the GCD of 586, 858, 115, 891?

GCD of 586, 858, 115, 891 is 1

2. Where do I get the detailed procedure to find GCD of 586, 858, 115, 891?

You can find a detailed procedure to find GCD of 586, 858, 115, 891 on our page.

3. How to find GCD of 586, 858, 115, 891 on a calculator?

You can find the GCD of 586, 858, 115, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.