GCD of 189, 869, 825 Calculator

Given Input numbers are 189, 869, 825

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

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

Greatest Common Divisior

We found the divisors of 189, 869, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 869, 825 is 1.

Therefore, GCD of numbers 189, 869, 825 is 1

Given Input Data is 189, 869, 825

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 869 is 11 x 79

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

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(189, 869) = 164241

GCD(189, 869) = ( 189 x 869 ) / 164241

GCD(189, 869) = 164241 / 164241

GCD(189, 869) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 189, 869, 825 is 1

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1. What is the GCD of 189, 869, 825?

GCD of 189, 869, 825 is 1

2. Where do I get the detailed procedure to find GCD of 189, 869, 825?

You can find a detailed procedure to find GCD of 189, 869, 825 on our page.

3. How to find GCD of 189, 869, 825 on a calculator?

You can find the GCD of 189, 869, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.