GCD of 44, 518, 684, 323 Calculator

Given Input numbers are 44, 518, 684, 323

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 44, 518, 684, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 518, 684, 323 is 1.

Therefore, GCD of numbers 44, 518, 684, 323 is 1

Given Input Data is 44, 518, 684, 323

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 323 is 17 x 19

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(44, 518) = 11396

GCD(44, 518) = ( 44 x 518 ) / 11396

GCD(44, 518) = 22792 / 11396

GCD(44, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 684

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

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

GCD(2, 684) = 1368 / 684

GCD(2, 684) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 323

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

LCM(2, 323) = 646

GCD(2, 323) = ( 2 x 323 ) / 646

GCD(2, 323) = 646 / 646

GCD(2, 323) = 1

GCD of 44, 518, 684, 323 is 1

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• GCD of 20, 697, 452, 743
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• GCD of 80, 804, 595, 736

1. What is the GCD of 44, 518, 684, 323?

GCD of 44, 518, 684, 323 is 1

2. Where do I get the detailed procedure to find GCD of 44, 518, 684, 323?

You can find a detailed procedure to find GCD of 44, 518, 684, 323 on our page.

3. How to find GCD of 44, 518, 684, 323 on a calculator?

You can find the GCD of 44, 518, 684, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.