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 113, 459, 153, 230 i.e. 1 largest integer that divides all the numbers equally.
GCD of 113, 459, 153, 230 is 1
GCD(113, 459, 153, 230) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 113, 459, 153, 230 is 1
GCD(113, 459, 153, 230) = 1
Given Input numbers are 113, 459, 153, 230
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Greatest Common Divisior
We found the divisors of 113, 459, 153, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 459, 153, 230 is 1.
Therefore, GCD of numbers 113, 459, 153, 230 is 1
Given Input Data is 113, 459, 153, 230
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 113 is 113
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 230 is 2 x 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(113, 459) = 51867
GCD(113, 459) = ( 113 x 459 ) / 51867
GCD(113, 459) = 51867 / 51867
GCD(113, 459) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 230
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 230) = 230
GCD(1, 230) = ( 1 x 230 ) / 230
GCD(1, 230) = 230 / 230
GCD(1, 230) = 1
GCD of 113, 459, 153, 230 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 113, 459, 153, 230?
GCD of 113, 459, 153, 230 is 1
2. Where do I get the detailed procedure to find GCD of 113, 459, 153, 230?
You can find a detailed procedure to find GCD of 113, 459, 153, 230 on our page.
3. How to find GCD of 113, 459, 153, 230 on a calculator?
You can find the GCD of 113, 459, 153, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.