GCD of 663, 369, 583 Calculator

Given Input numbers are 663, 369, 583

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 369

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

1, 3, 9, 41, 123, 369

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 663, 369, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 369, 583 is 1.

Therefore, GCD of numbers 663, 369, 583 is 1

Given Input Data is 663, 369, 583

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 583 is 11 x 53

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(663, 369) = 81549

GCD(663, 369) = ( 663 x 369 ) / 81549

GCD(663, 369) = 244647 / 81549

GCD(663, 369) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 583

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

LCM(3, 583) = 1749

GCD(3, 583) = ( 3 x 583 ) / 1749

GCD(3, 583) = 1749 / 1749

GCD(3, 583) = 1

GCD of 663, 369, 583 is 1

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• GCD of 381, 685, 496
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1. What is the GCD of 663, 369, 583?

GCD of 663, 369, 583 is 1

2. Where do I get the detailed procedure to find GCD of 663, 369, 583?

You can find a detailed procedure to find GCD of 663, 369, 583 on our page.

3. How to find GCD of 663, 369, 583 on a calculator?

You can find the GCD of 663, 369, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.