GCD of 214, 255, 561 Calculator

Given Input numbers are 214, 255, 561

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 214, 255, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 255, 561 is 1.

Therefore, GCD of numbers 214, 255, 561 is 1

Given Input Data is 214, 255, 561

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 561 is 3 x 11 x 17

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(214, 255) = 54570

GCD(214, 255) = ( 214 x 255 ) / 54570

GCD(214, 255) = 54570 / 54570

GCD(214, 255) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 214, 255, 561 is 1

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1. What is the GCD of 214, 255, 561?

GCD of 214, 255, 561 is 1

2. Where do I get the detailed procedure to find GCD of 214, 255, 561?

You can find a detailed procedure to find GCD of 214, 255, 561 on our page.

3. How to find GCD of 214, 255, 561 on a calculator?

You can find the GCD of 214, 255, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.