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, 354, 18 i.e. 6 largest integer that divides all the numbers equally.
GCD of 180, 354, 18 is 6
GCD(180, 354, 18) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 354, 18 is 6
GCD(180, 354, 18) = 6
Given Input numbers are 180, 354, 18
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 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
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 180, 354, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 354, 18 is 6.
Therefore, GCD of numbers 180, 354, 18 is 6
Given Input Data is 180, 354, 18
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 354 is 2 x 3 x 59
Prime Factorization of 18 is 2 x 3 x 3
Highest common occurrences in the given inputs are 21 x 31
Multiplying them we get the GCD as 6
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, 354) = 10620
GCD(180, 354) = ( 180 x 354 ) / 10620
GCD(180, 354) = 63720 / 10620
GCD(180, 354) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 18) = 18
GCD(6, 18) = ( 6 x 18 ) / 18
GCD(6, 18) = 108 / 18
GCD(6, 18) = 6
GCD of 180, 354, 18 is 6
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 180, 354, 18?
GCD of 180, 354, 18 is 6
2. Where do I get the detailed procedure to find GCD of 180, 354, 18?
You can find a detailed procedure to find GCD of 180, 354, 18 on our page.
3. How to find GCD of 180, 354, 18 on a calculator?
You can find the GCD of 180, 354, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.