GCD of 249, 519, 676, 330 Calculator

Given Input numbers are 249, 519, 676, 330

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 519

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

1, 3, 173, 519

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 249, 519, 676, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 519, 676, 330 is 1.

Therefore, GCD of numbers 249, 519, 676, 330 is 1

Given Input Data is 249, 519, 676, 330

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 519 is 3 x 173

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 330 is 2 x 3 x 5 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(249, 519) = 43077

GCD(249, 519) = ( 249 x 519 ) / 43077

GCD(249, 519) = 129231 / 43077

GCD(249, 519) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 676

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

LCM(3, 676) = 2028

GCD(3, 676) = ( 3 x 676 ) / 2028

GCD(3, 676) = 2028 / 2028

GCD(3, 676) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 249, 519, 676, 330 is 1

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1. What is the GCD of 249, 519, 676, 330?

GCD of 249, 519, 676, 330 is 1

2. Where do I get the detailed procedure to find GCD of 249, 519, 676, 330?

You can find a detailed procedure to find GCD of 249, 519, 676, 330 on our page.

3. How to find GCD of 249, 519, 676, 330 on a calculator?

You can find the GCD of 249, 519, 676, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.