GCD of 928, 204, 523, 513 Calculator

Given Input numbers are 928, 204, 523, 513

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 928, 204, 523, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 204, 523, 513 is 1.

Therefore, GCD of numbers 928, 204, 523, 513 is 1

Given Input Data is 928, 204, 523, 513

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 523 is 523

Prime Factorization of 513 is 3 x 3 x 3 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(928, 204) = 47328

GCD(928, 204) = ( 928 x 204 ) / 47328

GCD(928, 204) = 189312 / 47328

GCD(928, 204) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 523

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

LCM(4, 523) = 2092

GCD(4, 523) = ( 4 x 523 ) / 2092

GCD(4, 523) = 2092 / 2092

GCD(4, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 928, 204, 523, 513 is 1

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1. What is the GCD of 928, 204, 523, 513?

GCD of 928, 204, 523, 513 is 1

2. Where do I get the detailed procedure to find GCD of 928, 204, 523, 513?

You can find a detailed procedure to find GCD of 928, 204, 523, 513 on our page.

3. How to find GCD of 928, 204, 523, 513 on a calculator?

You can find the GCD of 928, 204, 523, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.