Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 808, 854, 42, 194 i.e. 2 largest integer that divides all the numbers equally.
GCD of 808, 854, 42, 194 is 2
GCD(808, 854, 42, 194) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 808, 854, 42, 194 is 2
GCD(808, 854, 42, 194) = 2
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
Here are some samples of GCD of Numbers calculations.
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.