GCD of 567, 556, 108, 514 Calculator

Given Input numbers are 567, 556, 108, 514

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

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 567, 556, 108, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 556, 108, 514 is 1.

Therefore, GCD of numbers 567, 556, 108, 514 is 1

Given Input Data is 567, 556, 108, 514

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 514 is 2 x 257

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(567, 556) = 315252

GCD(567, 556) = ( 567 x 556 ) / 315252

GCD(567, 556) = 315252 / 315252

GCD(567, 556) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 567, 556, 108, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 856, 704, 362
• GCD of 889, 240, 361, 656
• GCD of 566, 294, 699, 103
• GCD of 465, 112, 868, 676
• GCD of 357, 883, 584, 782

1. What is the GCD of 567, 556, 108, 514?

GCD of 567, 556, 108, 514 is 1

2. Where do I get the detailed procedure to find GCD of 567, 556, 108, 514?

You can find a detailed procedure to find GCD of 567, 556, 108, 514 on our page.

3. How to find GCD of 567, 556, 108, 514 on a calculator?

You can find the GCD of 567, 556, 108, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.