GCD of 324, 582, 98, 519 Calculator

Given Input numbers are 324, 582, 98, 519

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 519

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

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 324, 582, 98, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 582, 98, 519 is 1.

Therefore, GCD of numbers 324, 582, 98, 519 is 1

Given Input Data is 324, 582, 98, 519

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 519 is 3 x 173

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(324, 582) = 31428

GCD(324, 582) = ( 324 x 582 ) / 31428

GCD(324, 582) = 188568 / 31428

GCD(324, 582) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 98

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

LCM(6, 98) = 294

GCD(6, 98) = ( 6 x 98 ) / 294

GCD(6, 98) = 588 / 294

GCD(6, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 519

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

LCM(2, 519) = 1038

GCD(2, 519) = ( 2 x 519 ) / 1038

GCD(2, 519) = 1038 / 1038

GCD(2, 519) = 1

GCD of 324, 582, 98, 519 is 1

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• GCD of 865, 405, 33, 241
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1. What is the GCD of 324, 582, 98, 519?

GCD of 324, 582, 98, 519 is 1

2. Where do I get the detailed procedure to find GCD of 324, 582, 98, 519?

You can find a detailed procedure to find GCD of 324, 582, 98, 519 on our page.

3. How to find GCD of 324, 582, 98, 519 on a calculator?

You can find the GCD of 324, 582, 98, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.