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 834, 328, 34, 844 i.e. 2 largest integer that divides all the numbers equally.
GCD of 834, 328, 34, 844 is 2
GCD(834, 328, 34, 844) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 328, 34, 844 is 2
GCD(834, 328, 34, 844) = 2
Given Input numbers are 834, 328, 34, 844
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Greatest Common Divisior
We found the divisors of 834, 328, 34, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 328, 34, 844 is 2.
Therefore, GCD of numbers 834, 328, 34, 844 is 2
Given Input Data is 834, 328, 34, 844
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 34 is 2 x 17
Prime Factorization of 844 is 2 x 2 x 211
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(834, 328) = 136776
GCD(834, 328) = ( 834 x 328 ) / 136776
GCD(834, 328) = 273552 / 136776
GCD(834, 328) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 34) = 34
GCD(2, 34) = ( 2 x 34 ) / 34
GCD(2, 34) = 68 / 34
GCD(2, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 844
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 844) = 844
GCD(2, 844) = ( 2 x 844 ) / 844
GCD(2, 844) = 1688 / 844
GCD(2, 844) = 2
GCD of 834, 328, 34, 844 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 328, 34, 844?
GCD of 834, 328, 34, 844 is 2
2. Where do I get the detailed procedure to find GCD of 834, 328, 34, 844?
You can find a detailed procedure to find GCD of 834, 328, 34, 844 on our page.
3. How to find GCD of 834, 328, 34, 844 on a calculator?
You can find the GCD of 834, 328, 34, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.