GCD of 27, 906, 268, 982 Calculator

Given Input numbers are 27, 906, 268, 982

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 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 27, 906, 268, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 906, 268, 982 is 1.

Therefore, GCD of numbers 27, 906, 268, 982 is 1

Given Input Data is 27, 906, 268, 982

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 268 is 2 x 2 x 67

Prime Factorization of 982 is 2 x 491

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 268

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

LCM(3, 268) = 804

GCD(3, 268) = ( 3 x 268 ) / 804

GCD(3, 268) = 804 / 804

GCD(3, 268) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 27, 906, 268, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 812, 248, 232
• GCD of 61, 991, 349, 137
• GCD of 29, 699, 901, 221
• GCD of 30, 314, 919, 405
• GCD of 85, 728, 839, 754

1. What is the GCD of 27, 906, 268, 982?

GCD of 27, 906, 268, 982 is 1

2. Where do I get the detailed procedure to find GCD of 27, 906, 268, 982?

You can find a detailed procedure to find GCD of 27, 906, 268, 982 on our page.

3. How to find GCD of 27, 906, 268, 982 on a calculator?

You can find the GCD of 27, 906, 268, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.