GCD of 590, 527, 13, 303 Calculator

Given Input numbers are 590, 527, 13, 303

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 590, 527, 13, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 527, 13, 303 is 1.

Therefore, GCD of numbers 590, 527, 13, 303 is 1

Given Input Data is 590, 527, 13, 303

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 527 is 17 x 31

Prime Factorization of 13 is 13

Prime Factorization of 303 is 3 x 101

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(590, 527) = 310930

GCD(590, 527) = ( 590 x 527 ) / 310930

GCD(590, 527) = 310930 / 310930

GCD(590, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 590, 527, 13, 303 is 1

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1. What is the GCD of 590, 527, 13, 303?

GCD of 590, 527, 13, 303 is 1

2. Where do I get the detailed procedure to find GCD of 590, 527, 13, 303?

You can find a detailed procedure to find GCD of 590, 527, 13, 303 on our page.

3. How to find GCD of 590, 527, 13, 303 on a calculator?

You can find the GCD of 590, 527, 13, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.