GCD of 205, 725, 563 Calculator

Given Input numbers are 205, 725, 563

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

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 205, 725, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 725, 563 is 1.

Therefore, GCD of numbers 205, 725, 563 is 1

Given Input Data is 205, 725, 563

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 725 is 5 x 5 x 29

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(205, 725) = 29725

GCD(205, 725) = ( 205 x 725 ) / 29725

GCD(205, 725) = 148625 / 29725

GCD(205, 725) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 563

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

LCM(5, 563) = 2815

GCD(5, 563) = ( 5 x 563 ) / 2815

GCD(5, 563) = 2815 / 2815

GCD(5, 563) = 1

GCD of 205, 725, 563 is 1

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1. What is the GCD of 205, 725, 563?

GCD of 205, 725, 563 is 1

2. Where do I get the detailed procedure to find GCD of 205, 725, 563?

You can find a detailed procedure to find GCD of 205, 725, 563 on our page.

3. How to find GCD of 205, 725, 563 on a calculator?

You can find the GCD of 205, 725, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.