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, 452, 324, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 115, 452, 324, 695 is 1
GCD(115, 452, 324, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 115, 452, 324, 695 is 1
GCD(115, 452, 324, 695) = 1
Given Input numbers are 115, 452, 324, 695
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 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 115, 452, 324, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 452, 324, 695 is 1.
Therefore, GCD of numbers 115, 452, 324, 695 is 1
Given Input Data is 115, 452, 324, 695
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 115 is 5 x 23
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 695 is 5 x 139
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, 452) = 51980
GCD(115, 452) = ( 115 x 452 ) / 51980
GCD(115, 452) = 51980 / 51980
GCD(115, 452) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 695) = 695
GCD(1, 695) = ( 1 x 695 ) / 695
GCD(1, 695) = 695 / 695
GCD(1, 695) = 1
GCD of 115, 452, 324, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 115, 452, 324, 695?
GCD of 115, 452, 324, 695 is 1
2. Where do I get the detailed procedure to find GCD of 115, 452, 324, 695?
You can find a detailed procedure to find GCD of 115, 452, 324, 695 on our page.
3. How to find GCD of 115, 452, 324, 695 on a calculator?
You can find the GCD of 115, 452, 324, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.