GCD of 566, 864, 671, 509 Calculator

Given Input numbers are 566, 864, 671, 509

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

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 566, 864, 671, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 864, 671, 509 is 1.

Therefore, GCD of numbers 566, 864, 671, 509 is 1

Given Input Data is 566, 864, 671, 509

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 671 is 11 x 61

Prime Factorization of 509 is 509

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(566, 864) = 244512

GCD(566, 864) = ( 566 x 864 ) / 244512

GCD(566, 864) = 489024 / 244512

GCD(566, 864) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 671

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

LCM(2, 671) = 1342

GCD(2, 671) = ( 2 x 671 ) / 1342

GCD(2, 671) = 1342 / 1342

GCD(2, 671) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 566, 864, 671, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 987, 427, 724
• GCD of 772, 285, 942, 464
• GCD of 437, 934, 770, 233
• GCD of 305, 137, 230, 778
• GCD of 130, 284, 704, 101

1. What is the GCD of 566, 864, 671, 509?

GCD of 566, 864, 671, 509 is 1

2. Where do I get the detailed procedure to find GCD of 566, 864, 671, 509?

You can find a detailed procedure to find GCD of 566, 864, 671, 509 on our page.

3. How to find GCD of 566, 864, 671, 509 on a calculator?

You can find the GCD of 566, 864, 671, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.