GCD of 109, 518, 489, 327 Calculator

Given Input numbers are 109, 518, 489, 327

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

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 109, 518, 489, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 518, 489, 327 is 1.

Therefore, GCD of numbers 109, 518, 489, 327 is 1

Given Input Data is 109, 518, 489, 327

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

Prime Factorization of 109 is 109

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 489 is 3 x 163

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(109, 518) = 56462

GCD(109, 518) = ( 109 x 518 ) / 56462

GCD(109, 518) = 56462 / 56462

GCD(109, 518) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 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 109, 518, 489, 327 is 1

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• GCD of 105, 109, 353, 247
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1. What is the GCD of 109, 518, 489, 327?

GCD of 109, 518, 489, 327 is 1

2. Where do I get the detailed procedure to find GCD of 109, 518, 489, 327?

You can find a detailed procedure to find GCD of 109, 518, 489, 327 on our page.

3. How to find GCD of 109, 518, 489, 327 on a calculator?

You can find the GCD of 109, 518, 489, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.