GCD of 27, 906, 983, 759 Calculator

Given Input numbers are 27, 906, 983, 759

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 27, 906, 983, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 906, 983, 759 is 1.

Therefore, GCD of numbers 27, 906, 983, 759 is 1

Given Input Data is 27, 906, 983, 759

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 906 is 2 x 3 x 151

Prime Factorization of 983 is 983

Prime Factorization of 759 is 3 x 11 x 23

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, 906) = 8154

GCD(27, 906) = ( 27 x 906 ) / 8154

GCD(27, 906) = 24462 / 8154

GCD(27, 906) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 983

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

LCM(3, 983) = 2949

GCD(3, 983) = ( 3 x 983 ) / 2949

GCD(3, 983) = 2949 / 2949

GCD(3, 983) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 27, 906, 983, 759 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 359, 989, 194
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• GCD of 22, 807, 130, 555

1. What is the GCD of 27, 906, 983, 759?

GCD of 27, 906, 983, 759 is 1

2. Where do I get the detailed procedure to find GCD of 27, 906, 983, 759?

You can find a detailed procedure to find GCD of 27, 906, 983, 759 on our page.

3. How to find GCD of 27, 906, 983, 759 on a calculator?

You can find the GCD of 27, 906, 983, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.