GCD of 825, 891, 571, 875 Calculator

Given Input numbers are 825, 891, 571, 875

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 891

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

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

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 825, 891, 571, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 891, 571, 875 is 1.

Therefore, GCD of numbers 825, 891, 571, 875 is 1

Given Input Data is 825, 891, 571, 875

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 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 571 is 571

Prime Factorization of 875 is 5 x 5 x 5 x 7

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, 891) = 22275

GCD(825, 891) = ( 825 x 891 ) / 22275

GCD(825, 891) = 735075 / 22275

GCD(825, 891) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 571

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

LCM(33, 571) = 18843

GCD(33, 571) = ( 33 x 571 ) / 18843

GCD(33, 571) = 18843 / 18843

GCD(33, 571) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

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

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

GCD of 825, 891, 571, 875 is 1

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1. What is the GCD of 825, 891, 571, 875?

GCD of 825, 891, 571, 875 is 1

2. Where do I get the detailed procedure to find GCD of 825, 891, 571, 875?

You can find a detailed procedure to find GCD of 825, 891, 571, 875 on our page.

3. How to find GCD of 825, 891, 571, 875 on a calculator?

You can find the GCD of 825, 891, 571, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.