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 34, 104, 838, 798 i.e. 2 largest integer that divides all the numbers equally.
GCD of 34, 104, 838, 798 is 2
GCD(34, 104, 838, 798) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 34, 104, 838, 798 is 2
GCD(34, 104, 838, 798) = 2
Given Input numbers are 34, 104, 838, 798
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 34, 104, 838, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 104, 838, 798 is 2.
Therefore, GCD of numbers 34, 104, 838, 798 is 2
Given Input Data is 34, 104, 838, 798
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 34 is 2 x 17
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 838 is 2 x 419
Prime Factorization of 798 is 2 x 3 x 7 x 19
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(34, 104) = 1768
GCD(34, 104) = ( 34 x 104 ) / 1768
GCD(34, 104) = 3536 / 1768
GCD(34, 104) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 838) = 838
GCD(2, 838) = ( 2 x 838 ) / 838
GCD(2, 838) = 1676 / 838
GCD(2, 838) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 798) = 798
GCD(2, 798) = ( 2 x 798 ) / 798
GCD(2, 798) = 1596 / 798
GCD(2, 798) = 2
GCD of 34, 104, 838, 798 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 34, 104, 838, 798?
GCD of 34, 104, 838, 798 is 2
2. Where do I get the detailed procedure to find GCD of 34, 104, 838, 798?
You can find a detailed procedure to find GCD of 34, 104, 838, 798 on our page.
3. How to find GCD of 34, 104, 838, 798 on a calculator?
You can find the GCD of 34, 104, 838, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.