GCD of 214, 426, 27, 221 Calculator

Given Input numbers are 214, 426, 27, 221

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 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 214, 426, 27, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 426, 27, 221 is 1.

Therefore, GCD of numbers 214, 426, 27, 221 is 1

Given Input Data is 214, 426, 27, 221

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 221 is 13 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, 426) = 45582

GCD(214, 426) = ( 214 x 426 ) / 45582

GCD(214, 426) = 91164 / 45582

GCD(214, 426) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 214, 426, 27, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 488, 36, 973
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• GCD of 366, 712, 49, 937

1. What is the GCD of 214, 426, 27, 221?

GCD of 214, 426, 27, 221 is 1

2. Where do I get the detailed procedure to find GCD of 214, 426, 27, 221?

You can find a detailed procedure to find GCD of 214, 426, 27, 221 on our page.

3. How to find GCD of 214, 426, 27, 221 on a calculator?

You can find the GCD of 214, 426, 27, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.