GCD of 214, 218, 331, 821 Calculator

Given Input numbers are 214, 218, 331, 821

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 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 214, 218, 331, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 218, 331, 821 is 1.

Therefore, GCD of numbers 214, 218, 331, 821 is 1

Given Input Data is 214, 218, 331, 821

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 218 is 2 x 109

Prime Factorization of 331 is 331

Prime Factorization of 821 is 821

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, 218) = 23326

GCD(214, 218) = ( 214 x 218 ) / 23326

GCD(214, 218) = 46652 / 23326

GCD(214, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 331

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

LCM(2, 331) = 662

GCD(2, 331) = ( 2 x 331 ) / 662

GCD(2, 331) = 662 / 662

GCD(2, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 214, 218, 331, 821 is 1

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• GCD of 306, 520, 663, 536
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1. What is the GCD of 214, 218, 331, 821?

GCD of 214, 218, 331, 821 is 1

2. Where do I get the detailed procedure to find GCD of 214, 218, 331, 821?

You can find a detailed procedure to find GCD of 214, 218, 331, 821 on our page.

3. How to find GCD of 214, 218, 331, 821 on a calculator?

You can find the GCD of 214, 218, 331, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.