GCD of 306, 132, 27, 305 Calculator

Given Input numbers are 306, 132, 27, 305

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 27

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

1, 3, 9, 27

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 306, 132, 27, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 132, 27, 305 is 1.

Therefore, GCD of numbers 306, 132, 27, 305 is 1

Given Input Data is 306, 132, 27, 305

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 305 is 5 x 61

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(306, 132) = 6732

GCD(306, 132) = ( 306 x 132 ) / 6732

GCD(306, 132) = 40392 / 6732

GCD(306, 132) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 27

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

LCM(6, 27) = 54

GCD(6, 27) = ( 6 x 27 ) / 54

GCD(6, 27) = 162 / 54

GCD(6, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 305

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

LCM(3, 305) = 915

GCD(3, 305) = ( 3 x 305 ) / 915

GCD(3, 305) = 915 / 915

GCD(3, 305) = 1

GCD of 306, 132, 27, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 416, 23, 932
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• GCD of 526, 810, 82, 923

1. What is the GCD of 306, 132, 27, 305?

GCD of 306, 132, 27, 305 is 1

2. Where do I get the detailed procedure to find GCD of 306, 132, 27, 305?

You can find a detailed procedure to find GCD of 306, 132, 27, 305 on our page.

3. How to find GCD of 306, 132, 27, 305 on a calculator?

You can find the GCD of 306, 132, 27, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.