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 114, 244, 52, 188 i.e. 2 largest integer that divides all the numbers equally.
GCD of 114, 244, 52, 188 is 2
GCD(114, 244, 52, 188) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 114, 244, 52, 188 is 2
GCD(114, 244, 52, 188) = 2
Given Input numbers are 114, 244, 52, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 244
List of positive integer divisors of 244 that divides 244 without a remainder.
1, 2, 4, 61, 122, 244
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
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 114, 244, 52, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 244, 52, 188 is 2.
Therefore, GCD of numbers 114, 244, 52, 188 is 2
Given Input Data is 114, 244, 52, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 244 is 2 x 2 x 61
Prime Factorization of 52 is 2 x 2 x 13
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(114, 244) = 13908
GCD(114, 244) = ( 114 x 244 ) / 13908
GCD(114, 244) = 27816 / 13908
GCD(114, 244) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 52) = 52
GCD(2, 52) = ( 2 x 52 ) / 52
GCD(2, 52) = 104 / 52
GCD(2, 52) = 2
Step3:
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 114, 244, 52, 188 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 114, 244, 52, 188?
GCD of 114, 244, 52, 188 is 2
2. Where do I get the detailed procedure to find GCD of 114, 244, 52, 188?
You can find a detailed procedure to find GCD of 114, 244, 52, 188 on our page.
3. How to find GCD of 114, 244, 52, 188 on a calculator?
You can find the GCD of 114, 244, 52, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.