GCD of 214, 284, 909, 357 Calculator

Given Input numbers are 214, 284, 909, 357

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 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 214, 284, 909, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 284, 909, 357 is 1.

Therefore, GCD of numbers 214, 284, 909, 357 is 1

Given Input Data is 214, 284, 909, 357

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 357 is 3 x 7 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, 284) = 30388

GCD(214, 284) = ( 214 x 284 ) / 30388

GCD(214, 284) = 60776 / 30388

GCD(214, 284) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 909

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

LCM(2, 909) = 1818

GCD(2, 909) = ( 2 x 909 ) / 1818

GCD(2, 909) = 1818 / 1818

GCD(2, 909) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 214, 284, 909, 357 is 1

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1. What is the GCD of 214, 284, 909, 357?

GCD of 214, 284, 909, 357 is 1

2. Where do I get the detailed procedure to find GCD of 214, 284, 909, 357?

You can find a detailed procedure to find GCD of 214, 284, 909, 357 on our page.

3. How to find GCD of 214, 284, 909, 357 on a calculator?

You can find the GCD of 214, 284, 909, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.