GCD of 852, 586, 364, 523 Calculator

Given Input numbers are 852, 586, 364, 523

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 586

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

1, 2, 293, 586

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 852, 586, 364, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 586, 364, 523 is 1.

Therefore, GCD of numbers 852, 586, 364, 523 is 1

Given Input Data is 852, 586, 364, 523

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 586 is 2 x 293

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 523 is 523

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(852, 586) = 249636

GCD(852, 586) = ( 852 x 586 ) / 249636

GCD(852, 586) = 499272 / 249636

GCD(852, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 523

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

LCM(2, 523) = 1046

GCD(2, 523) = ( 2 x 523 ) / 1046

GCD(2, 523) = 1046 / 1046

GCD(2, 523) = 1

GCD of 852, 586, 364, 523 is 1

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1. What is the GCD of 852, 586, 364, 523?

GCD of 852, 586, 364, 523 is 1

2. Where do I get the detailed procedure to find GCD of 852, 586, 364, 523?

You can find a detailed procedure to find GCD of 852, 586, 364, 523 on our page.

3. How to find GCD of 852, 586, 364, 523 on a calculator?

You can find the GCD of 852, 586, 364, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.