GCD of 27, 993, 569, 648 Calculator

Given Input numbers are 27, 993, 569, 648

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

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

Greatest Common Divisior

We found the divisors of 27, 993, 569, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 993, 569, 648 is 1.

Therefore, GCD of numbers 27, 993, 569, 648 is 1

Given Input Data is 27, 993, 569, 648

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 993 is 3 x 331

Prime Factorization of 569 is 569

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

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(27, 993) = 8937

GCD(27, 993) = ( 27 x 993 ) / 8937

GCD(27, 993) = 26811 / 8937

GCD(27, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 569

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

LCM(3, 569) = 1707

GCD(3, 569) = ( 3 x 569 ) / 1707

GCD(3, 569) = 1707 / 1707

GCD(3, 569) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 27, 993, 569, 648 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 531, 738, 748
• GCD of 36, 785, 891, 995
• GCD of 70, 869, 162, 524
• GCD of 17, 961, 947, 920
• GCD of 19, 151, 901, 463

1. What is the GCD of 27, 993, 569, 648?

GCD of 27, 993, 569, 648 is 1

2. Where do I get the detailed procedure to find GCD of 27, 993, 569, 648?

You can find a detailed procedure to find GCD of 27, 993, 569, 648 on our page.

3. How to find GCD of 27, 993, 569, 648 on a calculator?

You can find the GCD of 27, 993, 569, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.