GCD of 306, 414, 684 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 306, 414, 684 quickly. Get the easiest ways to solve the greatest common divisor of 306, 414, 684 i.e 18 in different methods as follows.
Given Input numbers are 306, 414, 684
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (306, 414, 684) = 18.
Given numbers are 306, 414, 684
The list of prime factors of all numbers are
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The highest common occurrence is 21 x 32
Therefore, GCD of 306, 414, 684 is 18.
Steps to Calculate GCD of 306, 414, 684 using LCM Formula
Given numbers are 306, 414, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(306, 414) = 7038
GCD(306, 414) = ( 306 x 414 ) / 7038
= 306 / 414
= 306
Step2:
LCM(18, 684) = 684
GCD(18, 684) = ( 18 x 684 ) / 684
= 18 / 684
= 18
So, Greatest Common Divisor of 306, 414, 684 is 18
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 306, 414, 684
Given numbers are 306, 414, 684
The greatest common divisor of numbers 306, 414, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 414, 684 is 18.
FAQs on GCD of 306, 414, 684 Calculator
1. What is the GCD of 306, 414, 684?
GCD of given numbers 306, 414, 684 is 18
2. How to calculate the greatest common divisor of 306, 414, 684?
We can find the highest common divisor of 306, 414, 684 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 306, 414, 684 i.e 18.
3. How can I use the GCD of 306, 414, 684Calculator?
Out the numbers 306, 414, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.