GCD of 530, 328, 729, 525 Calculator

Given Input numbers are 530, 328, 729, 525

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

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 530, 328, 729, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 328, 729, 525 is 1.

Therefore, GCD of numbers 530, 328, 729, 525 is 1

Given Input Data is 530, 328, 729, 525

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(530, 328) = 86920

GCD(530, 328) = ( 530 x 328 ) / 86920

GCD(530, 328) = 173840 / 86920

GCD(530, 328) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 729

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

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

GCD(2, 729) = 1458 / 1458

GCD(2, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 530, 328, 729, 525 is 1

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1. What is the GCD of 530, 328, 729, 525?

GCD of 530, 328, 729, 525 is 1

2. Where do I get the detailed procedure to find GCD of 530, 328, 729, 525?

You can find a detailed procedure to find GCD of 530, 328, 729, 525 on our page.

3. How to find GCD of 530, 328, 729, 525 on a calculator?

You can find the GCD of 530, 328, 729, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.