GCD of 214, 180, 306 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 214, 180, 306 quickly. Get the easiest ways to solve the greatest common divisor of 214, 180, 306 i.e 2 in different methods as follows.
Given Input numbers are 214, 180, 306
In the factoring method, we have to find the divisors of all numbers
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
GCD of numbers is the greatest common divisor
So, the GCD (214, 180, 306) = 2.
Given numbers are 214, 180, 306
The list of prime factors of all numbers are
Prime factors of 214 are 2 x 107
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 306 are 2 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 214, 180, 306 is 2.
Steps to Calculate GCD of 214, 180, 306 using LCM Formula
Given numbers are 214, 180, 306
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(214, 180) = 19260
GCD(214, 180) = ( 214 x 180 ) / 19260
= 214 / 180
= 214
Step2:
LCM(2, 306) = 306
GCD(2, 306) = ( 2 x 306 ) / 306
= 2 / 306
= 2
So, Greatest Common Divisor of 214, 180, 306 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 214, 180, 306
Given numbers are 214, 180, 306
The greatest common divisor of numbers 214, 180, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 180, 306 is 2.
FAQs on GCD of 214, 180, 306 Calculator
1. What is the GCD of 214, 180, 306?
GCD of given numbers 214, 180, 306 is 2
2. How to calculate the greatest common divisor of 214, 180, 306?
We can find the highest common divisor of 214, 180, 306 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 214, 180, 306 i.e 2.
3. How can I use the GCD of 214, 180, 306Calculator?
Out the numbers 214, 180, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.