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 453, 338, 12, 115 i.e. 1 largest integer that divides all the numbers equally.
GCD of 453, 338, 12, 115 is 1
GCD(453, 338, 12, 115) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 453, 338, 12, 115 is 1
GCD(453, 338, 12, 115) = 1
Given Input numbers are 453, 338, 12, 115
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Greatest Common Divisior
We found the divisors of 453, 338, 12, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 453, 338, 12, 115 is 1.
Therefore, GCD of numbers 453, 338, 12, 115 is 1
Given Input Data is 453, 338, 12, 115
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 453 is 3 x 151
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 115 is 5 x 23
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(453, 338) = 153114
GCD(453, 338) = ( 453 x 338 ) / 153114
GCD(453, 338) = 153114 / 153114
GCD(453, 338) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 115
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 115) = 115
GCD(1, 115) = ( 1 x 115 ) / 115
GCD(1, 115) = 115 / 115
GCD(1, 115) = 1
GCD of 453, 338, 12, 115 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 453, 338, 12, 115?
GCD of 453, 338, 12, 115 is 1
2. Where do I get the detailed procedure to find GCD of 453, 338, 12, 115?
You can find a detailed procedure to find GCD of 453, 338, 12, 115 on our page.
3. How to find GCD of 453, 338, 12, 115 on a calculator?
You can find the GCD of 453, 338, 12, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.