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 345, 326, 834 i.e. 1 largest integer that divides all the numbers equally.
GCD of 345, 326, 834 is 1
GCD(345, 326, 834) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 345, 326, 834 is 1
GCD(345, 326, 834) = 1
Given Input numbers are 345, 326, 834
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Greatest Common Divisior
We found the divisors of 345, 326, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 326, 834 is 1.
Therefore, GCD of numbers 345, 326, 834 is 1
Given Input Data is 345, 326, 834
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 326 is 2 x 163
Prime Factorization of 834 is 2 x 3 x 139
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(345, 326) = 112470
GCD(345, 326) = ( 345 x 326 ) / 112470
GCD(345, 326) = 112470 / 112470
GCD(345, 326) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 834) = 834
GCD(1, 834) = ( 1 x 834 ) / 834
GCD(1, 834) = 834 / 834
GCD(1, 834) = 1
GCD of 345, 326, 834 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 345, 326, 834?
GCD of 345, 326, 834 is 1
2. Where do I get the detailed procedure to find GCD of 345, 326, 834?
You can find a detailed procedure to find GCD of 345, 326, 834 on our page.
3. How to find GCD of 345, 326, 834 on a calculator?
You can find the GCD of 345, 326, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.