GCD of 305, 611, 27, 853 Calculator

Given Input numbers are 305, 611, 27, 853

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

Divisors of 305

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

1, 5, 61, 305

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Divisors of 27

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

1, 3, 9, 27

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 305, 611, 27, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 611, 27, 853 is 1.

Therefore, GCD of numbers 305, 611, 27, 853 is 1

Given Input Data is 305, 611, 27, 853

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 611 is 13 x 47

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 853 is 853

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(305, 611) = 186355

GCD(305, 611) = ( 305 x 611 ) / 186355

GCD(305, 611) = 186355 / 186355

GCD(305, 611) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 305, 611, 27, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 109, 86, 374
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• GCD of 123, 602, 85, 258

1. What is the GCD of 305, 611, 27, 853?

GCD of 305, 611, 27, 853 is 1

2. Where do I get the detailed procedure to find GCD of 305, 611, 27, 853?

You can find a detailed procedure to find GCD of 305, 611, 27, 853 on our page.

3. How to find GCD of 305, 611, 27, 853 on a calculator?

You can find the GCD of 305, 611, 27, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.