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, 973, 204 i.e. 1 largest integer that divides all the numbers equally.
GCD of 834, 973, 204 is 1
GCD(834, 973, 204) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 973, 204 is 1
GCD(834, 973, 204) = 1
Given Input numbers are 834, 973, 204
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 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
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
Greatest Common Divisior
We found the divisors of 834, 973, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 973, 204 is 1.
Therefore, GCD of numbers 834, 973, 204 is 1
Given Input Data is 834, 973, 204
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 973 is 7 x 139
Prime Factorization of 204 is 2 x 2 x 3 x 17
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, 973) = 5838
GCD(834, 973) = ( 834 x 973 ) / 5838
GCD(834, 973) = 811482 / 5838
GCD(834, 973) = 139
Step2:
Here we consider the GCD from the above i.e. 139 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(139, 204) = 28356
GCD(139, 204) = ( 139 x 204 ) / 28356
GCD(139, 204) = 28356 / 28356
GCD(139, 204) = 1
GCD of 834, 973, 204 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 973, 204?
GCD of 834, 973, 204 is 1
2. Where do I get the detailed procedure to find GCD of 834, 973, 204?
You can find a detailed procedure to find GCD of 834, 973, 204 on our page.
3. How to find GCD of 834, 973, 204 on a calculator?
You can find the GCD of 834, 973, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.