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, 655, 96, 659 i.e. 1 largest integer that divides all the numbers equally.
GCD of 115, 655, 96, 659 is 1
GCD(115, 655, 96, 659) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 115, 655, 96, 659 is 1
GCD(115, 655, 96, 659) = 1
Given Input numbers are 115, 655, 96, 659
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 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Greatest Common Divisior
We found the divisors of 115, 655, 96, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 655, 96, 659 is 1.
Therefore, GCD of numbers 115, 655, 96, 659 is 1
Given Input Data is 115, 655, 96, 659
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 115 is 5 x 23
Prime Factorization of 655 is 5 x 131
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 659 is 659
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, 655) = 15065
GCD(115, 655) = ( 115 x 655 ) / 15065
GCD(115, 655) = 75325 / 15065
GCD(115, 655) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 96) = 480
GCD(5, 96) = ( 5 x 96 ) / 480
GCD(5, 96) = 480 / 480
GCD(5, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 659
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 659) = 659
GCD(1, 659) = ( 1 x 659 ) / 659
GCD(1, 659) = 659 / 659
GCD(1, 659) = 1
GCD of 115, 655, 96, 659 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 115, 655, 96, 659?
GCD of 115, 655, 96, 659 is 1
2. Where do I get the detailed procedure to find GCD of 115, 655, 96, 659?
You can find a detailed procedure to find GCD of 115, 655, 96, 659 on our page.
3. How to find GCD of 115, 655, 96, 659 on a calculator?
You can find the GCD of 115, 655, 96, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.