GCD of 503, 924, 519, 385 Calculator

Given Input numbers are 503, 924, 519, 385

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

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 519

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

1, 3, 173, 519

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 503, 924, 519, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 924, 519, 385 is 1.

Therefore, GCD of numbers 503, 924, 519, 385 is 1

Given Input Data is 503, 924, 519, 385

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

Prime Factorization of 503 is 503

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 519 is 3 x 173

Prime Factorization of 385 is 5 x 7 x 11

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(503, 924) = 464772

GCD(503, 924) = ( 503 x 924 ) / 464772

GCD(503, 924) = 464772 / 464772

GCD(503, 924) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 519

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

LCM(1, 519) = 519

GCD(1, 519) = ( 1 x 519 ) / 519

GCD(1, 519) = 519 / 519

GCD(1, 519) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 503, 924, 519, 385 is 1

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1. What is the GCD of 503, 924, 519, 385?

GCD of 503, 924, 519, 385 is 1

2. Where do I get the detailed procedure to find GCD of 503, 924, 519, 385?

You can find a detailed procedure to find GCD of 503, 924, 519, 385 on our page.

3. How to find GCD of 503, 924, 519, 385 on a calculator?

You can find the GCD of 503, 924, 519, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.