GCD of 231, 657, 27, 826 Calculator

Given Input numbers are 231, 657, 27, 826

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 231, 657, 27, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 657, 27, 826 is 1.

Therefore, GCD of numbers 231, 657, 27, 826 is 1

Given Input Data is 231, 657, 27, 826

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 826 is 2 x 7 x 59

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(231, 657) = 50589

GCD(231, 657) = ( 231 x 657 ) / 50589

GCD(231, 657) = 151767 / 50589

GCD(231, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

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

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 826

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

LCM(3, 826) = 2478

GCD(3, 826) = ( 3 x 826 ) / 2478

GCD(3, 826) = 2478 / 2478

GCD(3, 826) = 1

GCD of 231, 657, 27, 826 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 726, 22, 675
• GCD of 468, 244, 30, 431
• GCD of 870, 678, 69, 444
• GCD of 832, 774, 22, 948
• GCD of 136, 815, 11, 528

1. What is the GCD of 231, 657, 27, 826?

GCD of 231, 657, 27, 826 is 1

2. Where do I get the detailed procedure to find GCD of 231, 657, 27, 826?

You can find a detailed procedure to find GCD of 231, 657, 27, 826 on our page.

3. How to find GCD of 231, 657, 27, 826 on a calculator?

You can find the GCD of 231, 657, 27, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.