GCD of 952, 586, 589, 582 Calculator

Given Input numbers are 952, 586, 589, 582

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 586

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

1, 2, 293, 586

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Greatest Common Divisior

We found the divisors of 952, 586, 589, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 586, 589, 582 is 1.

Therefore, GCD of numbers 952, 586, 589, 582 is 1

Given Input Data is 952, 586, 589, 582

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 586 is 2 x 293

Prime Factorization of 589 is 19 x 31

Prime Factorization of 582 is 2 x 3 x 97

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(952, 586) = 278936

GCD(952, 586) = ( 952 x 586 ) / 278936

GCD(952, 586) = 557872 / 278936

GCD(952, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 589

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

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

GCD(2, 589) = 1178 / 1178

GCD(2, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 582

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

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

GCD(1, 582) = 582 / 582

GCD(1, 582) = 1

GCD of 952, 586, 589, 582 is 1

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1. What is the GCD of 952, 586, 589, 582?

GCD of 952, 586, 589, 582 is 1

2. Where do I get the detailed procedure to find GCD of 952, 586, 589, 582?

You can find a detailed procedure to find GCD of 952, 586, 589, 582 on our page.

3. How to find GCD of 952, 586, 589, 582 on a calculator?

You can find the GCD of 952, 586, 589, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.