GCD of 328, 506, 15, 588 Calculator

Given Input numbers are 328, 506, 15, 588

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

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 328, 506, 15, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 506, 15, 588 is 1.

Therefore, GCD of numbers 328, 506, 15, 588 is 1

Given Input Data is 328, 506, 15, 588

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

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 15 is 3 x 5

Prime Factorization of 588 is 2 x 2 x 3 x 7 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(328, 506) = 82984

GCD(328, 506) = ( 328 x 506 ) / 82984

GCD(328, 506) = 165968 / 82984

GCD(328, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 328, 506, 15, 588 is 1

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1. What is the GCD of 328, 506, 15, 588?

GCD of 328, 506, 15, 588 is 1

2. Where do I get the detailed procedure to find GCD of 328, 506, 15, 588?

You can find a detailed procedure to find GCD of 328, 506, 15, 588 on our page.

3. How to find GCD of 328, 506, 15, 588 on a calculator?

You can find the GCD of 328, 506, 15, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.