GCD of 852, 358, 563, 872 Calculator

Given Input numbers are 852, 358, 563, 872

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 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 852, 358, 563, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 358, 563, 872 is 1.

Therefore, GCD of numbers 852, 358, 563, 872 is 1

Given Input Data is 852, 358, 563, 872

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 358 is 2 x 179

Prime Factorization of 563 is 563

Prime Factorization of 872 is 2 x 2 x 2 x 109

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, 358) = 152508

GCD(852, 358) = ( 852 x 358 ) / 152508

GCD(852, 358) = 305016 / 152508

GCD(852, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 563

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

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

GCD(2, 563) = 1126 / 1126

GCD(2, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 852, 358, 563, 872 is 1

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1. What is the GCD of 852, 358, 563, 872?

GCD of 852, 358, 563, 872 is 1

2. Where do I get the detailed procedure to find GCD of 852, 358, 563, 872?

You can find a detailed procedure to find GCD of 852, 358, 563, 872 on our page.

3. How to find GCD of 852, 358, 563, 872 on a calculator?

You can find the GCD of 852, 358, 563, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.