GCD of 258, 516, 501, 563 Calculator

Given Input numbers are 258, 516, 501, 563

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

Divisors of 258

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

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 258, 516, 501, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 516, 501, 563 is 1.

Therefore, GCD of numbers 258, 516, 501, 563 is 1

Given Input Data is 258, 516, 501, 563

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 501 is 3 x 167

Prime Factorization of 563 is 563

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(258, 516) = 516

GCD(258, 516) = ( 258 x 516 ) / 516

GCD(258, 516) = 133128 / 516

GCD(258, 516) = 258

Step2:

Here we consider the GCD from the above i.e. 258 as first number and the next as 501

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

LCM(258, 501) = 43086

GCD(258, 501) = ( 258 x 501 ) / 43086

GCD(258, 501) = 129258 / 43086

GCD(258, 501) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 563

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

LCM(3, 563) = 1689

GCD(3, 563) = ( 3 x 563 ) / 1689

GCD(3, 563) = 1689 / 1689

GCD(3, 563) = 1

GCD of 258, 516, 501, 563 is 1

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1. What is the GCD of 258, 516, 501, 563?

GCD of 258, 516, 501, 563 is 1

2. Where do I get the detailed procedure to find GCD of 258, 516, 501, 563?

You can find a detailed procedure to find GCD of 258, 516, 501, 563 on our page.

3. How to find GCD of 258, 516, 501, 563 on a calculator?

You can find the GCD of 258, 516, 501, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.