GCD of 189, 330, 876, 628 Calculator

Given Input numbers are 189, 330, 876, 628

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 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 189, 330, 876, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 330, 876, 628 is 1.

Therefore, GCD of numbers 189, 330, 876, 628 is 1

Given Input Data is 189, 330, 876, 628

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 330 is 2 x 3 x 5 x 11

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 628 is 2 x 2 x 157

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, 330) = 20790

GCD(189, 330) = ( 189 x 330 ) / 20790

GCD(189, 330) = 62370 / 20790

GCD(189, 330) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 876

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

LCM(3, 876) = 876

GCD(3, 876) = ( 3 x 876 ) / 876

GCD(3, 876) = 2628 / 876

GCD(3, 876) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 628

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

LCM(3, 628) = 1884

GCD(3, 628) = ( 3 x 628 ) / 1884

GCD(3, 628) = 1884 / 1884

GCD(3, 628) = 1

GCD of 189, 330, 876, 628 is 1

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1. What is the GCD of 189, 330, 876, 628?

GCD of 189, 330, 876, 628 is 1

2. Where do I get the detailed procedure to find GCD of 189, 330, 876, 628?

You can find a detailed procedure to find GCD of 189, 330, 876, 628 on our page.

3. How to find GCD of 189, 330, 876, 628 on a calculator?

You can find the GCD of 189, 330, 876, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.