GCD of 530, 596, 590, 258 Calculator

Given Input numbers are 530, 596, 590, 258

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

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 530, 596, 590, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 596, 590, 258 is 2.

Therefore, GCD of numbers 530, 596, 590, 258 is 2

Given Input Data is 530, 596, 590, 258

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 258 is 2 x 3 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(530, 596) = 157940

GCD(530, 596) = ( 530 x 596 ) / 157940

GCD(530, 596) = 315880 / 157940

GCD(530, 596) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 590

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

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

GCD(2, 590) = 1180 / 590

GCD(2, 590) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 258

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

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

GCD(2, 258) = 516 / 258

GCD(2, 258) = 2

GCD of 530, 596, 590, 258 is 2

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1. What is the GCD of 530, 596, 590, 258?

GCD of 530, 596, 590, 258 is 2

2. Where do I get the detailed procedure to find GCD of 530, 596, 590, 258?

You can find a detailed procedure to find GCD of 530, 596, 590, 258 on our page.

3. How to find GCD of 530, 596, 590, 258 on a calculator?

You can find the GCD of 530, 596, 590, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.