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, 494, 27, 259 i.e. 1 largest integer that divides all the numbers equally.
GCD of 834, 494, 27, 259 is 1
GCD(834, 494, 27, 259) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 494, 27, 259 is 1
GCD(834, 494, 27, 259) = 1
Given Input numbers are 834, 494, 27, 259
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 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Greatest Common Divisior
We found the divisors of 834, 494, 27, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 494, 27, 259 is 1.
Therefore, GCD of numbers 834, 494, 27, 259 is 1
Given Input Data is 834, 494, 27, 259
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 494 is 2 x 13 x 19
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 259 is 7 x 37
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, 494) = 205998
GCD(834, 494) = ( 834 x 494 ) / 205998
GCD(834, 494) = 411996 / 205998
GCD(834, 494) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 27) = 54
GCD(2, 27) = ( 2 x 27 ) / 54
GCD(2, 27) = 54 / 54
GCD(2, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 259
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 259) = 259
GCD(1, 259) = ( 1 x 259 ) / 259
GCD(1, 259) = 259 / 259
GCD(1, 259) = 1
GCD of 834, 494, 27, 259 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 494, 27, 259?
GCD of 834, 494, 27, 259 is 1
2. Where do I get the detailed procedure to find GCD of 834, 494, 27, 259?
You can find a detailed procedure to find GCD of 834, 494, 27, 259 on our page.
3. How to find GCD of 834, 494, 27, 259 on a calculator?
You can find the GCD of 834, 494, 27, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.