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, 308, 17, 746 i.e. 1 largest integer that divides all the numbers equally.
GCD of 834, 308, 17, 746 is 1
GCD(834, 308, 17, 746) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 308, 17, 746 is 1
GCD(834, 308, 17, 746) = 1
Given Input numbers are 834, 308, 17, 746
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 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Greatest Common Divisior
We found the divisors of 834, 308, 17, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 308, 17, 746 is 1.
Therefore, GCD of numbers 834, 308, 17, 746 is 1
Given Input Data is 834, 308, 17, 746
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 308 is 2 x 2 x 7 x 11
Prime Factorization of 17 is 17
Prime Factorization of 746 is 2 x 373
The above numbers do not have any common prime factor. So GCD is 1
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, 308) = 128436
GCD(834, 308) = ( 834 x 308 ) / 128436
GCD(834, 308) = 256872 / 128436
GCD(834, 308) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 17) = 34
GCD(2, 17) = ( 2 x 17 ) / 34
GCD(2, 17) = 34 / 34
GCD(2, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
GCD(1, 746) = 746 / 746
GCD(1, 746) = 1
GCD of 834, 308, 17, 746 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 308, 17, 746?
GCD of 834, 308, 17, 746 is 1
2. Where do I get the detailed procedure to find GCD of 834, 308, 17, 746?
You can find a detailed procedure to find GCD of 834, 308, 17, 746 on our page.
3. How to find GCD of 834, 308, 17, 746 on a calculator?
You can find the GCD of 834, 308, 17, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.