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, 335, 389, 334 i.e. 1 largest integer that divides all the numbers equally.
GCD of 345, 335, 389, 334 is 1
GCD(345, 335, 389, 334) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 345, 335, 389, 334 is 1
GCD(345, 335, 389, 334) = 1
Given Input numbers are 345, 335, 389, 334
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 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Greatest Common Divisior
We found the divisors of 345, 335, 389, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 335, 389, 334 is 1.
Therefore, GCD of numbers 345, 335, 389, 334 is 1
Given Input Data is 345, 335, 389, 334
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 335 is 5 x 67
Prime Factorization of 389 is 389
Prime Factorization of 334 is 2 x 167
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, 335) = 23115
GCD(345, 335) = ( 345 x 335 ) / 23115
GCD(345, 335) = 115575 / 23115
GCD(345, 335) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 389) = 1945
GCD(5, 389) = ( 5 x 389 ) / 1945
GCD(5, 389) = 1945 / 1945
GCD(5, 389) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 334) = 334
GCD(1, 334) = ( 1 x 334 ) / 334
GCD(1, 334) = 334 / 334
GCD(1, 334) = 1
GCD of 345, 335, 389, 334 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 345, 335, 389, 334?
GCD of 345, 335, 389, 334 is 1
2. Where do I get the detailed procedure to find GCD of 345, 335, 389, 334?
You can find a detailed procedure to find GCD of 345, 335, 389, 334 on our page.
3. How to find GCD of 345, 335, 389, 334 on a calculator?
You can find the GCD of 345, 335, 389, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.