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 318, 376, 341, 232 i.e. 1 largest integer that divides all the numbers equally.
GCD of 318, 376, 341, 232 is 1
GCD(318, 376, 341, 232) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 318, 376, 341, 232 is 1
GCD(318, 376, 341, 232) = 1
Given Input numbers are 318, 376, 341, 232
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Greatest Common Divisior
We found the divisors of 318, 376, 341, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 376, 341, 232 is 1.
Therefore, GCD of numbers 318, 376, 341, 232 is 1
Given Input Data is 318, 376, 341, 232
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 341 is 11 x 31
Prime Factorization of 232 is 2 x 2 x 2 x 29
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(318, 376) = 59784
GCD(318, 376) = ( 318 x 376 ) / 59784
GCD(318, 376) = 119568 / 59784
GCD(318, 376) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 341) = 682
GCD(2, 341) = ( 2 x 341 ) / 682
GCD(2, 341) = 682 / 682
GCD(2, 341) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 232
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 232) = 232
GCD(1, 232) = ( 1 x 232 ) / 232
GCD(1, 232) = 232 / 232
GCD(1, 232) = 1
GCD of 318, 376, 341, 232 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 318, 376, 341, 232?
GCD of 318, 376, 341, 232 is 1
2. Where do I get the detailed procedure to find GCD of 318, 376, 341, 232?
You can find a detailed procedure to find GCD of 318, 376, 341, 232 on our page.
3. How to find GCD of 318, 376, 341, 232 on a calculator?
You can find the GCD of 318, 376, 341, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.