GCD of 189, 891, 13, 678 Calculator

Given Input numbers are 189, 891, 13, 678

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 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 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 189, 891, 13, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 891, 13, 678 is 1.

Therefore, GCD of numbers 189, 891, 13, 678 is 1

Given Input Data is 189, 891, 13, 678

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 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 13 is 13

Prime Factorization of 678 is 2 x 3 x 113

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, 891) = 6237

GCD(189, 891) = ( 189 x 891 ) / 6237

GCD(189, 891) = 168399 / 6237

GCD(189, 891) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 13

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

LCM(27, 13) = 351

GCD(27, 13) = ( 27 x 13 ) / 351

GCD(27, 13) = 351 / 351

GCD(27, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 189, 891, 13, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 638, 88, 363
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• GCD of 725, 230, 18, 480

1. What is the GCD of 189, 891, 13, 678?

GCD of 189, 891, 13, 678 is 1

2. Where do I get the detailed procedure to find GCD of 189, 891, 13, 678?

You can find a detailed procedure to find GCD of 189, 891, 13, 678 on our page.

3. How to find GCD of 189, 891, 13, 678 on a calculator?

You can find the GCD of 189, 891, 13, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.