GCD of 825, 879, 355, 556 Calculator

Given Input numbers are 825, 879, 355, 556

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 825, 879, 355, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 879, 355, 556 is 1.

Therefore, GCD of numbers 825, 879, 355, 556 is 1

Given Input Data is 825, 879, 355, 556

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 879 is 3 x 293

Prime Factorization of 355 is 5 x 71

Prime Factorization of 556 is 2 x 2 x 139

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(825, 879) = 241725

GCD(825, 879) = ( 825 x 879 ) / 241725

GCD(825, 879) = 725175 / 241725

GCD(825, 879) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 355

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

LCM(3, 355) = 1065

GCD(3, 355) = ( 3 x 355 ) / 1065

GCD(3, 355) = 1065 / 1065

GCD(3, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 825, 879, 355, 556 is 1

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1. What is the GCD of 825, 879, 355, 556?

GCD of 825, 879, 355, 556 is 1

2. Where do I get the detailed procedure to find GCD of 825, 879, 355, 556?

You can find a detailed procedure to find GCD of 825, 879, 355, 556 on our page.

3. How to find GCD of 825, 879, 355, 556 on a calculator?

You can find the GCD of 825, 879, 355, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.