GCD of 189, 309, 20, 674 Calculator

Given Input numbers are 189, 309, 20, 674

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 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 189, 309, 20, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 309, 20, 674 is 1.

Therefore, GCD of numbers 189, 309, 20, 674 is 1

Given Input Data is 189, 309, 20, 674

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 309 is 3 x 103

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 674 is 2 x 337

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, 309) = 19467

GCD(189, 309) = ( 189 x 309 ) / 19467

GCD(189, 309) = 58401 / 19467

GCD(189, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 20

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

LCM(3, 20) = 60

GCD(3, 20) = ( 3 x 20 ) / 60

GCD(3, 20) = 60 / 60

GCD(3, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 189, 309, 20, 674 is 1

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• GCD of 614, 705, 26, 423
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1. What is the GCD of 189, 309, 20, 674?

GCD of 189, 309, 20, 674 is 1

2. Where do I get the detailed procedure to find GCD of 189, 309, 20, 674?

You can find a detailed procedure to find GCD of 189, 309, 20, 674 on our page.

3. How to find GCD of 189, 309, 20, 674 on a calculator?

You can find the GCD of 189, 309, 20, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.