GCD of 109, 382, 570, 214 Calculator

Given Input numbers are 109, 382, 570, 214

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 109, 382, 570, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 382, 570, 214 is 1.

Therefore, GCD of numbers 109, 382, 570, 214 is 1

Given Input Data is 109, 382, 570, 214

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

Prime Factorization of 109 is 109

Prime Factorization of 382 is 2 x 191

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 214 is 2 x 107

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(109, 382) = 41638

GCD(109, 382) = ( 109 x 382 ) / 41638

GCD(109, 382) = 41638 / 41638

GCD(109, 382) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 570

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

LCM(1, 570) = 570

GCD(1, 570) = ( 1 x 570 ) / 570

GCD(1, 570) = 570 / 570

GCD(1, 570) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 109, 382, 570, 214 is 1

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1. What is the GCD of 109, 382, 570, 214?

GCD of 109, 382, 570, 214 is 1

2. Where do I get the detailed procedure to find GCD of 109, 382, 570, 214?

You can find a detailed procedure to find GCD of 109, 382, 570, 214 on our page.

3. How to find GCD of 109, 382, 570, 214 on a calculator?

You can find the GCD of 109, 382, 570, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.