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, 274, 31, 325 i.e. 1 largest integer that divides all the numbers equally.
GCD of 115, 274, 31, 325 is 1
GCD(115, 274, 31, 325) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 115, 274, 31, 325 is 1
GCD(115, 274, 31, 325) = 1
Given Input numbers are 115, 274, 31, 325
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 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Greatest Common Divisior
We found the divisors of 115, 274, 31, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 274, 31, 325 is 1.
Therefore, GCD of numbers 115, 274, 31, 325 is 1
Given Input Data is 115, 274, 31, 325
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 115 is 5 x 23
Prime Factorization of 274 is 2 x 137
Prime Factorization of 31 is 31
Prime Factorization of 325 is 5 x 5 x 13
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, 274) = 31510
GCD(115, 274) = ( 115 x 274 ) / 31510
GCD(115, 274) = 31510 / 31510
GCD(115, 274) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 325) = 325
GCD(1, 325) = ( 1 x 325 ) / 325
GCD(1, 325) = 325 / 325
GCD(1, 325) = 1
GCD of 115, 274, 31, 325 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 115, 274, 31, 325?
GCD of 115, 274, 31, 325 is 1
2. Where do I get the detailed procedure to find GCD of 115, 274, 31, 325?
You can find a detailed procedure to find GCD of 115, 274, 31, 325 on our page.
3. How to find GCD of 115, 274, 31, 325 on a calculator?
You can find the GCD of 115, 274, 31, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.