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 360, 799, 308, 232 i.e. 1 largest integer that divides all the numbers equally.
GCD of 360, 799, 308, 232 is 1
GCD(360, 799, 308, 232) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 799, 308, 232 is 1
GCD(360, 799, 308, 232) = 1
Given Input numbers are 360, 799, 308, 232
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
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 360, 799, 308, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 799, 308, 232 is 1.
Therefore, GCD of numbers 360, 799, 308, 232 is 1
Given Input Data is 360, 799, 308, 232
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 799 is 17 x 47
Prime Factorization of 308 is 2 x 2 x 7 x 11
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(360, 799) = 287640
GCD(360, 799) = ( 360 x 799 ) / 287640
GCD(360, 799) = 287640 / 287640
GCD(360, 799) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 308
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
GCD(1, 308) = 308 / 308
GCD(1, 308) = 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 360, 799, 308, 232 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 360, 799, 308, 232?
GCD of 360, 799, 308, 232 is 1
2. Where do I get the detailed procedure to find GCD of 360, 799, 308, 232?
You can find a detailed procedure to find GCD of 360, 799, 308, 232 on our page.
3. How to find GCD of 360, 799, 308, 232 on a calculator?
You can find the GCD of 360, 799, 308, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.