GCD of 130, 214, 149, 394 Calculator

Given Input numbers are 130, 214, 149, 394

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 214

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

1, 2, 107, 214

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 130, 214, 149, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 214, 149, 394 is 1.

Therefore, GCD of numbers 130, 214, 149, 394 is 1

Given Input Data is 130, 214, 149, 394

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 214 is 2 x 107

Prime Factorization of 149 is 149

Prime Factorization of 394 is 2 x 197

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(130, 214) = 13910

GCD(130, 214) = ( 130 x 214 ) / 13910

GCD(130, 214) = 27820 / 13910

GCD(130, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 149

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

LCM(2, 149) = 298

GCD(2, 149) = ( 2 x 149 ) / 298

GCD(2, 149) = 298 / 298

GCD(2, 149) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

GCD of 130, 214, 149, 394 is 1

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• GCD of 530, 538, 584, 769
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1. What is the GCD of 130, 214, 149, 394?

GCD of 130, 214, 149, 394 is 1

2. Where do I get the detailed procedure to find GCD of 130, 214, 149, 394?

You can find a detailed procedure to find GCD of 130, 214, 149, 394 on our page.

3. How to find GCD of 130, 214, 149, 394 on a calculator?

You can find the GCD of 130, 214, 149, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.