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 35, 330, 318, 232 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 330, 318, 232 is 1
GCD(35, 330, 318, 232) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 330, 318, 232 is 1
GCD(35, 330, 318, 232) = 1
Given Input numbers are 35, 330, 318, 232
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
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 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 35, 330, 318, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 330, 318, 232 is 1.
Therefore, GCD of numbers 35, 330, 318, 232 is 1
Given Input Data is 35, 330, 318, 232
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 318 is 2 x 3 x 53
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(35, 330) = 2310
GCD(35, 330) = ( 35 x 330 ) / 2310
GCD(35, 330) = 11550 / 2310
GCD(35, 330) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 318) = 1590
GCD(5, 318) = ( 5 x 318 ) / 1590
GCD(5, 318) = 1590 / 1590
GCD(5, 318) = 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 35, 330, 318, 232 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 330, 318, 232?
GCD of 35, 330, 318, 232 is 1
2. Where do I get the detailed procedure to find GCD of 35, 330, 318, 232?
You can find a detailed procedure to find GCD of 35, 330, 318, 232 on our page.
3. How to find GCD of 35, 330, 318, 232 on a calculator?
You can find the GCD of 35, 330, 318, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.