GCD of 806, 238, 418, 137 Calculator

Given Input numbers are 806, 238, 418, 137

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 238

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

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 806, 238, 418, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 238, 418, 137 is 1.

Therefore, GCD of numbers 806, 238, 418, 137 is 1

Given Input Data is 806, 238, 418, 137

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 137 is 137

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(806, 238) = 95914

GCD(806, 238) = ( 806 x 238 ) / 95914

GCD(806, 238) = 191828 / 95914

GCD(806, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 418

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

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

GCD(2, 418) = 836 / 418

GCD(2, 418) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 137

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

LCM(2, 137) = 274

GCD(2, 137) = ( 2 x 137 ) / 274

GCD(2, 137) = 274 / 274

GCD(2, 137) = 1

GCD of 806, 238, 418, 137 is 1

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1. What is the GCD of 806, 238, 418, 137?

GCD of 806, 238, 418, 137 is 1

2. Where do I get the detailed procedure to find GCD of 806, 238, 418, 137?

You can find a detailed procedure to find GCD of 806, 238, 418, 137 on our page.

3. How to find GCD of 806, 238, 418, 137 on a calculator?

You can find the GCD of 806, 238, 418, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.