GCD of 519, 693, 214, 327 Calculator

Given Input numbers are 519, 693, 214, 327

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

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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 519, 693, 214, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 519, 693, 214, 327 is 1.

Therefore, GCD of numbers 519, 693, 214, 327 is 1

Given Input Data is 519, 693, 214, 327

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

Prime Factorization of 519 is 3 x 173

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 214 is 2 x 107

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(519, 693) = 119889

GCD(519, 693) = ( 519 x 693 ) / 119889

GCD(519, 693) = 359667 / 119889

GCD(519, 693) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 214

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

LCM(3, 214) = 642

GCD(3, 214) = ( 3 x 214 ) / 642

GCD(3, 214) = 642 / 642

GCD(3, 214) = 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 519, 693, 214, 327 is 1

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1. What is the GCD of 519, 693, 214, 327?

GCD of 519, 693, 214, 327 is 1

2. Where do I get the detailed procedure to find GCD of 519, 693, 214, 327?

You can find a detailed procedure to find GCD of 519, 693, 214, 327 on our page.

3. How to find GCD of 519, 693, 214, 327 on a calculator?

You can find the GCD of 519, 693, 214, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.