GCD of 382, 304, 214, 781 Calculator

Given Input numbers are 382, 304, 214, 781

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

Divisors of 382

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

1, 2, 191, 382

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 214

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

1, 2, 107, 214

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 382, 304, 214, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 304, 214, 781 is 1.

Therefore, GCD of numbers 382, 304, 214, 781 is 1

Given Input Data is 382, 304, 214, 781

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 214 is 2 x 107

Prime Factorization of 781 is 11 x 71

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(382, 304) = 58064

GCD(382, 304) = ( 382 x 304 ) / 58064

GCD(382, 304) = 116128 / 58064

GCD(382, 304) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 214

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

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

GCD(2, 214) = 428 / 214

GCD(2, 214) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 781

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

LCM(2, 781) = 1562

GCD(2, 781) = ( 2 x 781 ) / 1562

GCD(2, 781) = 1562 / 1562

GCD(2, 781) = 1

GCD of 382, 304, 214, 781 is 1

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1. What is the GCD of 382, 304, 214, 781?

GCD of 382, 304, 214, 781 is 1

2. Where do I get the detailed procedure to find GCD of 382, 304, 214, 781?

You can find a detailed procedure to find GCD of 382, 304, 214, 781 on our page.

3. How to find GCD of 382, 304, 214, 781 on a calculator?

You can find the GCD of 382, 304, 214, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.