GCD of 214, 266, 259 Calculator

Given Input numbers are 214, 266, 259

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 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 214, 266, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 266, 259 is 1.

Therefore, GCD of numbers 214, 266, 259 is 1

Given Input Data is 214, 266, 259

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 259 is 7 x 37

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, 266) = 28462

GCD(214, 266) = ( 214 x 266 ) / 28462

GCD(214, 266) = 56924 / 28462

GCD(214, 266) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 259

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

LCM(2, 259) = 518

GCD(2, 259) = ( 2 x 259 ) / 518

GCD(2, 259) = 518 / 518

GCD(2, 259) = 1

GCD of 214, 266, 259 is 1

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1. What is the GCD of 214, 266, 259?

GCD of 214, 266, 259 is 1

2. Where do I get the detailed procedure to find GCD of 214, 266, 259?

You can find a detailed procedure to find GCD of 214, 266, 259 on our page.

3. How to find GCD of 214, 266, 259 on a calculator?

You can find the GCD of 214, 266, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.