GCD of 530, 522, 709, 384 Calculator

Given Input numbers are 530, 522, 709, 384

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 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 530, 522, 709, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 522, 709, 384 is 1.

Therefore, GCD of numbers 530, 522, 709, 384 is 1

Given Input Data is 530, 522, 709, 384

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 522 is 2 x 3 x 3 x 29

Prime Factorization of 709 is 709

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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, 522) = 138330

GCD(530, 522) = ( 530 x 522 ) / 138330

GCD(530, 522) = 276660 / 138330

GCD(530, 522) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 709

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

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

GCD(2, 709) = 1418 / 1418

GCD(2, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 530, 522, 709, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 701, 394, 702
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• GCD of 734, 329, 707, 150

1. What is the GCD of 530, 522, 709, 384?

GCD of 530, 522, 709, 384 is 1

2. Where do I get the detailed procedure to find GCD of 530, 522, 709, 384?

You can find a detailed procedure to find GCD of 530, 522, 709, 384 on our page.

3. How to find GCD of 530, 522, 709, 384 on a calculator?

You can find the GCD of 530, 522, 709, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.