GCD of 808, 854, 42, 194 Calculator

Given Input numbers are 808, 854, 42, 194

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 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 808, 854, 42, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 854, 42, 194 is 2.

Therefore, GCD of numbers 808, 854, 42, 194 is 2

Given Input Data is 808, 854, 42, 194

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 854 is 2 x 7 x 61

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 194 is 2 x 97

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, 854) = 345016

GCD(808, 854) = ( 808 x 854 ) / 345016

GCD(808, 854) = 690032 / 345016

GCD(808, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 194

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

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

GCD(2, 194) = 388 / 194

GCD(2, 194) = 2

GCD of 808, 854, 42, 194 is 2

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1. What is the GCD of 808, 854, 42, 194?

GCD of 808, 854, 42, 194 is 2

2. Where do I get the detailed procedure to find GCD of 808, 854, 42, 194?

You can find a detailed procedure to find GCD of 808, 854, 42, 194 on our page.

3. How to find GCD of 808, 854, 42, 194 on a calculator?

You can find the GCD of 808, 854, 42, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.