GCD of 506, 648, 59, 539 Calculator

Given Input numbers are 506, 648, 59, 539

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Greatest Common Divisior

We found the divisors of 506, 648, 59, 539 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 648, 59, 539 is 1.

Therefore, GCD of numbers 506, 648, 59, 539 is 1

Given Input Data is 506, 648, 59, 539

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 59 is 59

Prime Factorization of 539 is 7 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(506, 648) = 163944

GCD(506, 648) = ( 506 x 648 ) / 163944

GCD(506, 648) = 327888 / 163944

GCD(506, 648) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 539

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

LCM(1, 539) = 539

GCD(1, 539) = ( 1 x 539 ) / 539

GCD(1, 539) = 539 / 539

GCD(1, 539) = 1

GCD of 506, 648, 59, 539 is 1

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1. What is the GCD of 506, 648, 59, 539?

GCD of 506, 648, 59, 539 is 1

2. Where do I get the detailed procedure to find GCD of 506, 648, 59, 539?

You can find a detailed procedure to find GCD of 506, 648, 59, 539 on our page.

3. How to find GCD of 506, 648, 59, 539 on a calculator?

You can find the GCD of 506, 648, 59, 539 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.