GCD of 205, 269, 626 Calculator

Given Input numbers are 205, 269, 626

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 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 205, 269, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 269, 626 is 1.

Therefore, GCD of numbers 205, 269, 626 is 1

Given Input Data is 205, 269, 626

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 269 is 269

Prime Factorization of 626 is 2 x 313

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, 269) = 55145

GCD(205, 269) = ( 205 x 269 ) / 55145

GCD(205, 269) = 55145 / 55145

GCD(205, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 626

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

LCM(1, 626) = 626

GCD(1, 626) = ( 1 x 626 ) / 626

GCD(1, 626) = 626 / 626

GCD(1, 626) = 1

GCD of 205, 269, 626 is 1

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1. What is the GCD of 205, 269, 626?

GCD of 205, 269, 626 is 1

2. Where do I get the detailed procedure to find GCD of 205, 269, 626?

You can find a detailed procedure to find GCD of 205, 269, 626 on our page.

3. How to find GCD of 205, 269, 626 on a calculator?

You can find the GCD of 205, 269, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.