GCD of 368, 806, 728, 838 Calculator

Given Input numbers are 368, 806, 728, 838

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 368, 806, 728, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 806, 728, 838 is 2.

Therefore, GCD of numbers 368, 806, 728, 838 is 2

Given Input Data is 368, 806, 728, 838

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 838 is 2 x 419

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(368, 806) = 148304

GCD(368, 806) = ( 368 x 806 ) / 148304

GCD(368, 806) = 296608 / 148304

GCD(368, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 838

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

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

GCD(2, 838) = 1676 / 838

GCD(2, 838) = 2

GCD of 368, 806, 728, 838 is 2

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1. What is the GCD of 368, 806, 728, 838?

GCD of 368, 806, 728, 838 is 2

2. Where do I get the detailed procedure to find GCD of 368, 806, 728, 838?

You can find a detailed procedure to find GCD of 368, 806, 728, 838 on our page.

3. How to find GCD of 368, 806, 728, 838 on a calculator?

You can find the GCD of 368, 806, 728, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.