GCD of 507, 558, 26, 660 Calculator

Given Input numbers are 507, 558, 26, 660

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 507, 558, 26, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 558, 26, 660 is 1.

Therefore, GCD of numbers 507, 558, 26, 660 is 1

Given Input Data is 507, 558, 26, 660

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 26 is 2 x 13

Prime Factorization of 660 is 2 x 2 x 3 x 5 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(507, 558) = 94302

GCD(507, 558) = ( 507 x 558 ) / 94302

GCD(507, 558) = 282906 / 94302

GCD(507, 558) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 26

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

LCM(3, 26) = 78

GCD(3, 26) = ( 3 x 26 ) / 78

GCD(3, 26) = 78 / 78

GCD(3, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 507, 558, 26, 660 is 1

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1. What is the GCD of 507, 558, 26, 660?

GCD of 507, 558, 26, 660 is 1

2. Where do I get the detailed procedure to find GCD of 507, 558, 26, 660?

You can find a detailed procedure to find GCD of 507, 558, 26, 660 on our page.

3. How to find GCD of 507, 558, 26, 660 on a calculator?

You can find the GCD of 507, 558, 26, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.