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 180, 468, 118 i.e. 2 largest integer that divides all the numbers equally.
GCD of 180, 468, 118 is 2
GCD(180, 468, 118) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 468, 118 is 2
GCD(180, 468, 118) = 2
Given Input numbers are 180, 468, 118
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Greatest Common Divisior
We found the divisors of 180, 468, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 468, 118 is 2.
Therefore, GCD of numbers 180, 468, 118 is 2
Given Input Data is 180, 468, 118
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 118 is 2 x 59
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(180, 468) = 2340
GCD(180, 468) = ( 180 x 468 ) / 2340
GCD(180, 468) = 84240 / 2340
GCD(180, 468) = 36
Step2:
Here we consider the GCD from the above i.e. 36 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(36, 118) = 2124
GCD(36, 118) = ( 36 x 118 ) / 2124
GCD(36, 118) = 4248 / 2124
GCD(36, 118) = 2
GCD of 180, 468, 118 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 180, 468, 118?
GCD of 180, 468, 118 is 2
2. Where do I get the detailed procedure to find GCD of 180, 468, 118?
You can find a detailed procedure to find GCD of 180, 468, 118 on our page.
3. How to find GCD of 180, 468, 118 on a calculator?
You can find the GCD of 180, 468, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.