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 434, 378, 204, 968 i.e. 2 largest integer that divides all the numbers equally.
GCD of 434, 378, 204, 968 is 2
GCD(434, 378, 204, 968) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 378, 204, 968 is 2
GCD(434, 378, 204, 968) = 2
Given Input numbers are 434, 378, 204, 968
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Greatest Common Divisior
We found the divisors of 434, 378, 204, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 378, 204, 968 is 2.
Therefore, GCD of numbers 434, 378, 204, 968 is 2
Given Input Data is 434, 378, 204, 968
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
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(434, 378) = 11718
GCD(434, 378) = ( 434 x 378 ) / 11718
GCD(434, 378) = 164052 / 11718
GCD(434, 378) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 204) = 1428
GCD(14, 204) = ( 14 x 204 ) / 1428
GCD(14, 204) = 2856 / 1428
GCD(14, 204) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 968) = 968
GCD(2, 968) = ( 2 x 968 ) / 968
GCD(2, 968) = 1936 / 968
GCD(2, 968) = 2
GCD of 434, 378, 204, 968 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 378, 204, 968?
GCD of 434, 378, 204, 968 is 2
2. Where do I get the detailed procedure to find GCD of 434, 378, 204, 968?
You can find a detailed procedure to find GCD of 434, 378, 204, 968 on our page.
3. How to find GCD of 434, 378, 204, 968 on a calculator?
You can find the GCD of 434, 378, 204, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.