GCD of 194, 660, 39, 563 Calculator

Given Input numbers are 194, 660, 39, 563

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

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 194, 660, 39, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 660, 39, 563 is 1.

Therefore, GCD of numbers 194, 660, 39, 563 is 1

Given Input Data is 194, 660, 39, 563

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 39 is 3 x 13

Prime Factorization of 563 is 563

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(194, 660) = 64020

GCD(194, 660) = ( 194 x 660 ) / 64020

GCD(194, 660) = 128040 / 64020

GCD(194, 660) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 194, 660, 39, 563 is 1

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1. What is the GCD of 194, 660, 39, 563?

GCD of 194, 660, 39, 563 is 1

2. Where do I get the detailed procedure to find GCD of 194, 660, 39, 563?

You can find a detailed procedure to find GCD of 194, 660, 39, 563 on our page.

3. How to find GCD of 194, 660, 39, 563 on a calculator?

You can find the GCD of 194, 660, 39, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.