GCD of 927, 189, 609, 289 Calculator

Given Input numbers are 927, 189, 609, 289

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

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

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 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 927, 189, 609, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 189, 609, 289 is 1.

Therefore, GCD of numbers 927, 189, 609, 289 is 1

Given Input Data is 927, 189, 609, 289

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

Prime Factorization of 927 is 3 x 3 x 103

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 289 is 17 x 17

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(927, 189) = 19467

GCD(927, 189) = ( 927 x 189 ) / 19467

GCD(927, 189) = 175203 / 19467

GCD(927, 189) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 609

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

LCM(9, 609) = 1827

GCD(9, 609) = ( 9 x 609 ) / 1827

GCD(9, 609) = 5481 / 1827

GCD(9, 609) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 289

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

LCM(3, 289) = 867

GCD(3, 289) = ( 3 x 289 ) / 867

GCD(3, 289) = 867 / 867

GCD(3, 289) = 1

GCD of 927, 189, 609, 289 is 1

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1. What is the GCD of 927, 189, 609, 289?

GCD of 927, 189, 609, 289 is 1

2. Where do I get the detailed procedure to find GCD of 927, 189, 609, 289?

You can find a detailed procedure to find GCD of 927, 189, 609, 289 on our page.

3. How to find GCD of 927, 189, 609, 289 on a calculator?

You can find the GCD of 927, 189, 609, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.