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 346, 804, 188 i.e. 2 largest integer that divides all the numbers equally.
GCD of 346, 804, 188 is 2
GCD(346, 804, 188) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 346, 804, 188 is 2
GCD(346, 804, 188) = 2
Given Input numbers are 346, 804, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 346, 804, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 804, 188 is 2.
Therefore, GCD of numbers 346, 804, 188 is 2
Given Input Data is 346, 804, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 346 is 2 x 173
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 188 is 2 x 2 x 47
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(346, 804) = 139092
GCD(346, 804) = ( 346 x 804 ) / 139092
GCD(346, 804) = 278184 / 139092
GCD(346, 804) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 188) = 188
GCD(2, 188) = ( 2 x 188 ) / 188
GCD(2, 188) = 376 / 188
GCD(2, 188) = 2
GCD of 346, 804, 188 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 346, 804, 188?
GCD of 346, 804, 188 is 2
2. Where do I get the detailed procedure to find GCD of 346, 804, 188?
You can find a detailed procedure to find GCD of 346, 804, 188 on our page.
3. How to find GCD of 346, 804, 188 on a calculator?
You can find the GCD of 346, 804, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.