GCD of 369, 368, 108, 566 Calculator

Given Input numbers are 369, 368, 108, 566

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 566

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

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 369, 368, 108, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 368, 108, 566 is 1.

Therefore, GCD of numbers 369, 368, 108, 566 is 1

Given Input Data is 369, 368, 108, 566

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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

Prime Factorization of 566 is 2 x 283

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(369, 368) = 135792

GCD(369, 368) = ( 369 x 368 ) / 135792

GCD(369, 368) = 135792 / 135792

GCD(369, 368) = 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 566

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

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

GCD(1, 566) = 566 / 566

GCD(1, 566) = 1

GCD of 369, 368, 108, 566 is 1

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1. What is the GCD of 369, 368, 108, 566?

GCD of 369, 368, 108, 566 is 1

2. Where do I get the detailed procedure to find GCD of 369, 368, 108, 566?

You can find a detailed procedure to find GCD of 369, 368, 108, 566 on our page.

3. How to find GCD of 369, 368, 108, 566 on a calculator?

You can find the GCD of 369, 368, 108, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.