GCD of 386, 808, 50, 238 Calculator

Given Input numbers are 386, 808, 50, 238

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

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 386, 808, 50, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 808, 50, 238 is 2.

Therefore, GCD of numbers 386, 808, 50, 238 is 2

Given Input Data is 386, 808, 50, 238

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

Prime Factorization of 386 is 2 x 193

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 238 is 2 x 7 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(386, 808) = 155944

GCD(386, 808) = ( 386 x 808 ) / 155944

GCD(386, 808) = 311888 / 155944

GCD(386, 808) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 238

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

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

GCD(2, 238) = 476 / 238

GCD(2, 238) = 2

GCD of 386, 808, 50, 238 is 2

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1. What is the GCD of 386, 808, 50, 238?

GCD of 386, 808, 50, 238 is 2

2. Where do I get the detailed procedure to find GCD of 386, 808, 50, 238?

You can find a detailed procedure to find GCD of 386, 808, 50, 238 on our page.

3. How to find GCD of 386, 808, 50, 238 on a calculator?

You can find the GCD of 386, 808, 50, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.