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 234, 317, 477, 342 i.e. 1 largest integer that divides all the numbers equally.
GCD of 234, 317, 477, 342 is 1
GCD(234, 317, 477, 342) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 317, 477, 342 is 1
GCD(234, 317, 477, 342) = 1
Given Input numbers are 234, 317, 477, 342
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Greatest Common Divisior
We found the divisors of 234, 317, 477, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 317, 477, 342 is 1.
Therefore, GCD of numbers 234, 317, 477, 342 is 1
Given Input Data is 234, 317, 477, 342
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 317 is 317
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 342 is 2 x 3 x 3 x 19
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(234, 317) = 74178
GCD(234, 317) = ( 234 x 317 ) / 74178
GCD(234, 317) = 74178 / 74178
GCD(234, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
GCD(1, 477) = 477 / 477
GCD(1, 477) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
GCD(1, 342) = 342 / 342
GCD(1, 342) = 1
GCD of 234, 317, 477, 342 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 234, 317, 477, 342?
GCD of 234, 317, 477, 342 is 1
2. Where do I get the detailed procedure to find GCD of 234, 317, 477, 342?
You can find a detailed procedure to find GCD of 234, 317, 477, 342 on our page.
3. How to find GCD of 234, 317, 477, 342 on a calculator?
You can find the GCD of 234, 317, 477, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.