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 183, 458, 18 i.e. 1 largest integer that divides all the numbers equally.
GCD of 183, 458, 18 is 1
GCD(183, 458, 18) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 183, 458, 18 is 1
GCD(183, 458, 18) = 1
Given Input numbers are 183, 458, 18
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Greatest Common Divisior
We found the divisors of 183, 458, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 183, 458, 18 is 1.
Therefore, GCD of numbers 183, 458, 18 is 1
Given Input Data is 183, 458, 18
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 183 is 3 x 61
Prime Factorization of 458 is 2 x 229
Prime Factorization of 18 is 2 x 3 x 3
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(183, 458) = 83814
GCD(183, 458) = ( 183 x 458 ) / 83814
GCD(183, 458) = 83814 / 83814
GCD(183, 458) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
GCD of 183, 458, 18 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 183, 458, 18?
GCD of 183, 458, 18 is 1
2. Where do I get the detailed procedure to find GCD of 183, 458, 18?
You can find a detailed procedure to find GCD of 183, 458, 18 on our page.
3. How to find GCD of 183, 458, 18 on a calculator?
You can find the GCD of 183, 458, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.