GCD of 120, 864, 306 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 120, 864, 306 quickly. Get the easiest ways to solve the greatest common divisor of 120, 864, 306 i.e 6 in different methods as follows.
Given Input numbers are 120, 864, 306
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
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 (120, 864, 306) = 6.
Given numbers are 120, 864, 306
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 306 are 2 x 3 x 3 x 17
The highest common occurrence is 21 x 31
Therefore, GCD of 120, 864, 306 is 6.
Steps to Calculate GCD of 120, 864, 306 using LCM Formula
Given numbers are 120, 864, 306
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 864) = 4320
GCD(120, 864) = ( 120 x 864 ) / 4320
= 120 / 864
= 120
Step2:
LCM(24, 306) = 1224
GCD(24, 306) = ( 24 x 306 ) / 1224
= 24 / 306
= 24
So, Greatest Common Divisor of 120, 864, 306 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 120, 864, 306
Given numbers are 120, 864, 306
The greatest common divisor of numbers 120, 864, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 864, 306 is 6.
FAQs on GCD of 120, 864, 306 Calculator
1. What is the GCD of 120, 864, 306?
GCD of given numbers 120, 864, 306 is 6
2. How to calculate the greatest common divisor of 120, 864, 306?
We can find the highest common divisor of 120, 864, 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 120, 864, 306 i.e 6.
3. How can I use the GCD of 120, 864, 306Calculator?
Out the numbers 120, 864, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.