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 334, 258, 180 i.e. 2 largest integer that divides all the numbers equally.
GCD of 334, 258, 180 is 2
GCD(334, 258, 180) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 334, 258, 180 is 2
GCD(334, 258, 180) = 2
Given Input numbers are 334, 258, 180
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
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
Greatest Common Divisior
We found the divisors of 334, 258, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 258, 180 is 2.
Therefore, GCD of numbers 334, 258, 180 is 2
Given Input Data is 334, 258, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 334 is 2 x 167
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
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(334, 258) = 43086
GCD(334, 258) = ( 334 x 258 ) / 43086
GCD(334, 258) = 86172 / 43086
GCD(334, 258) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
GCD(2, 180) = 360 / 180
GCD(2, 180) = 2
GCD of 334, 258, 180 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 334, 258, 180?
GCD of 334, 258, 180 is 2
2. Where do I get the detailed procedure to find GCD of 334, 258, 180?
You can find a detailed procedure to find GCD of 334, 258, 180 on our page.
3. How to find GCD of 334, 258, 180 on a calculator?
You can find the GCD of 334, 258, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.