GCD of 27, 513, 944, 308 Calculator

Given Input numbers are 27, 513, 944, 308

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 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 27, 513, 944, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 513, 944, 308 is 1.

Therefore, GCD of numbers 27, 513, 944, 308 is 1

Given Input Data is 27, 513, 944, 308

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 513 is 3 x 3 x 3 x 19

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 308 is 2 x 2 x 7 x 11

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, 513) = 513

GCD(27, 513) = ( 27 x 513 ) / 513

GCD(27, 513) = 13851 / 513

GCD(27, 513) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 944

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

LCM(27, 944) = 25488

GCD(27, 944) = ( 27 x 944 ) / 25488

GCD(27, 944) = 25488 / 25488

GCD(27, 944) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 27, 513, 944, 308 is 1

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• GCD of 18, 411, 845, 663
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• GCD of 88, 995, 670, 112

1. What is the GCD of 27, 513, 944, 308?

GCD of 27, 513, 944, 308 is 1

2. Where do I get the detailed procedure to find GCD of 27, 513, 944, 308?

You can find a detailed procedure to find GCD of 27, 513, 944, 308 on our page.

3. How to find GCD of 27, 513, 944, 308 on a calculator?

You can find the GCD of 27, 513, 944, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.