GCD of 505, 194, 563, 609 Calculator

Given Input numbers are 505, 194, 563, 609

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 194

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

1, 2, 97, 194

Divisors of 563

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

1, 563

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 505, 194, 563, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 194, 563, 609 is 1.

Therefore, GCD of numbers 505, 194, 563, 609 is 1

Given Input Data is 505, 194, 563, 609

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 194 is 2 x 97

Prime Factorization of 563 is 563

Prime Factorization of 609 is 3 x 7 x 29

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(505, 194) = 97970

GCD(505, 194) = ( 505 x 194 ) / 97970

GCD(505, 194) = 97970 / 97970

GCD(505, 194) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

GCD of 505, 194, 563, 609 is 1

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1. What is the GCD of 505, 194, 563, 609?

GCD of 505, 194, 563, 609 is 1

2. Where do I get the detailed procedure to find GCD of 505, 194, 563, 609?

You can find a detailed procedure to find GCD of 505, 194, 563, 609 on our page.

3. How to find GCD of 505, 194, 563, 609 on a calculator?

You can find the GCD of 505, 194, 563, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.