GCD of 27, 687, 923, 166 Calculator

Given Input numbers are 27, 687, 923, 166

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

Divisors of 27

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

1, 3, 9, 27

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 27, 687, 923, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 687, 923, 166 is 1.

Therefore, GCD of numbers 27, 687, 923, 166 is 1

Given Input Data is 27, 687, 923, 166

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 687 is 3 x 229

Prime Factorization of 923 is 13 x 71

Prime Factorization of 166 is 2 x 83

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(27, 687) = 6183

GCD(27, 687) = ( 27 x 687 ) / 6183

GCD(27, 687) = 18549 / 6183

GCD(27, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 923

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

LCM(3, 923) = 2769

GCD(3, 923) = ( 3 x 923 ) / 2769

GCD(3, 923) = 2769 / 2769

GCD(3, 923) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 166

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

LCM(1, 166) = 166

GCD(1, 166) = ( 1 x 166 ) / 166

GCD(1, 166) = 166 / 166

GCD(1, 166) = 1

GCD of 27, 687, 923, 166 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 647, 642, 966
• GCD of 16, 424, 229, 671
• GCD of 49, 573, 650, 685
• GCD of 26, 698, 609, 130
• GCD of 89, 239, 556, 271

1. What is the GCD of 27, 687, 923, 166?

GCD of 27, 687, 923, 166 is 1

2. Where do I get the detailed procedure to find GCD of 27, 687, 923, 166?

You can find a detailed procedure to find GCD of 27, 687, 923, 166 on our page.

3. How to find GCD of 27, 687, 923, 166 on a calculator?

You can find the GCD of 27, 687, 923, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.