GCD of 503, 320, 250, 313 Calculator

Given Input numbers are 503, 320, 250, 313

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 503, 320, 250, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 320, 250, 313 is 1.

Therefore, GCD of numbers 503, 320, 250, 313 is 1

Given Input Data is 503, 320, 250, 313

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

Prime Factorization of 503 is 503

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 313 is 313

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, 320) = 160960

GCD(503, 320) = ( 503 x 320 ) / 160960

GCD(503, 320) = 160960 / 160960

GCD(503, 320) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 250

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

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

GCD(1, 250) = 250 / 250

GCD(1, 250) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 503, 320, 250, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 560, 264, 356
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1. What is the GCD of 503, 320, 250, 313?

GCD of 503, 320, 250, 313 is 1

2. Where do I get the detailed procedure to find GCD of 503, 320, 250, 313?

You can find a detailed procedure to find GCD of 503, 320, 250, 313 on our page.

3. How to find GCD of 503, 320, 250, 313 on a calculator?

You can find the GCD of 503, 320, 250, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.