GCD of 808, 838, 186, 796 Calculator

Given Input numbers are 808, 838, 186, 796

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

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 838

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

1, 2, 419, 838

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 808, 838, 186, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 838, 186, 796 is 2.

Therefore, GCD of numbers 808, 838, 186, 796 is 2

Given Input Data is 808, 838, 186, 796

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

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 796 is 2 x 2 x 199

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(808, 838) = 338552

GCD(808, 838) = ( 808 x 838 ) / 338552

GCD(808, 838) = 677104 / 338552

GCD(808, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 186

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

LCM(2, 186) = 186

GCD(2, 186) = ( 2 x 186 ) / 186

GCD(2, 186) = 372 / 186

GCD(2, 186) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 796

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

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

GCD(2, 796) = 1592 / 796

GCD(2, 796) = 2

GCD of 808, 838, 186, 796 is 2

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1. What is the GCD of 808, 838, 186, 796?

GCD of 808, 838, 186, 796 is 2

2. Where do I get the detailed procedure to find GCD of 808, 838, 186, 796?

You can find a detailed procedure to find GCD of 808, 838, 186, 796 on our page.

3. How to find GCD of 808, 838, 186, 796 on a calculator?

You can find the GCD of 808, 838, 186, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.