GCD of 214, 327, 587 Calculator

Given Input numbers are 214, 327, 587

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 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Greatest Common Divisior

We found the divisors of 214, 327, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 327, 587 is 1.

Therefore, GCD of numbers 214, 327, 587 is 1

Given Input Data is 214, 327, 587

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 327 is 3 x 109

Prime Factorization of 587 is 587

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, 327) = 69978

GCD(214, 327) = ( 214 x 327 ) / 69978

GCD(214, 327) = 69978 / 69978

GCD(214, 327) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 587

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

LCM(1, 587) = 587

GCD(1, 587) = ( 1 x 587 ) / 587

GCD(1, 587) = 587 / 587

GCD(1, 587) = 1

GCD of 214, 327, 587 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 369, 750
• GCD of 775, 797, 414
• GCD of 407, 994, 317
• GCD of 862, 895, 906
• GCD of 562, 571, 121

1. What is the GCD of 214, 327, 587?

GCD of 214, 327, 587 is 1

2. Where do I get the detailed procedure to find GCD of 214, 327, 587?

You can find a detailed procedure to find GCD of 214, 327, 587 on our page.

3. How to find GCD of 214, 327, 587 on a calculator?

You can find the GCD of 214, 327, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.