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 115, 369, 132, 788 i.e. 1 largest integer that divides all the numbers equally.
GCD of 115, 369, 132, 788 is 1
GCD(115, 369, 132, 788) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 115, 369, 132, 788 is 1
GCD(115, 369, 132, 788) = 1
Given Input numbers are 115, 369, 132, 788
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Greatest Common Divisior
We found the divisors of 115, 369, 132, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 369, 132, 788 is 1.
Therefore, GCD of numbers 115, 369, 132, 788 is 1
Given Input Data is 115, 369, 132, 788
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 115 is 5 x 23
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 788 is 2 x 2 x 197
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(115, 369) = 42435
GCD(115, 369) = ( 115 x 369 ) / 42435
GCD(115, 369) = 42435 / 42435
GCD(115, 369) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 788) = 788
GCD(1, 788) = ( 1 x 788 ) / 788
GCD(1, 788) = 788 / 788
GCD(1, 788) = 1
GCD of 115, 369, 132, 788 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 115, 369, 132, 788?
GCD of 115, 369, 132, 788 is 1
2. Where do I get the detailed procedure to find GCD of 115, 369, 132, 788?
You can find a detailed procedure to find GCD of 115, 369, 132, 788 on our page.
3. How to find GCD of 115, 369, 132, 788 on a calculator?
You can find the GCD of 115, 369, 132, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.