GCD of 305, 543, 52, 327 Calculator

Given Input numbers are 305, 543, 52, 327

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 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Greatest Common Divisior

We found the divisors of 305, 543, 52, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 543, 52, 327 is 1.

Therefore, GCD of numbers 305, 543, 52, 327 is 1

Given Input Data is 305, 543, 52, 327

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 543 is 3 x 181

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 327 is 3 x 109

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, 543) = 165615

GCD(305, 543) = ( 305 x 543 ) / 165615

GCD(305, 543) = 165615 / 165615

GCD(305, 543) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 327

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

LCM(1, 327) = 327

GCD(1, 327) = ( 1 x 327 ) / 327

GCD(1, 327) = 327 / 327

GCD(1, 327) = 1

GCD of 305, 543, 52, 327 is 1

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1. What is the GCD of 305, 543, 52, 327?

GCD of 305, 543, 52, 327 is 1

2. Where do I get the detailed procedure to find GCD of 305, 543, 52, 327?

You can find a detailed procedure to find GCD of 305, 543, 52, 327 on our page.

3. How to find GCD of 305, 543, 52, 327 on a calculator?

You can find the GCD of 305, 543, 52, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.