GCD of 144, 204, 984 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 144, 204, 984 quickly. Get the easiest ways to solve the greatest common divisor of 144, 204, 984 i.e 12 in different methods as follows.
Given Input numbers are 144, 204, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
GCD of numbers is the greatest common divisor
So, the GCD (144, 204, 984) = 12.
Given numbers are 144, 204, 984
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The highest common occurrence is 22 x 31
Therefore, GCD of 144, 204, 984 is 12.
Steps to Calculate GCD of 144, 204, 984 using LCM Formula
Given numbers are 144, 204, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 204) = 2448
GCD(144, 204) = ( 144 x 204 ) / 2448
= 144 / 204
= 144
Step2:
LCM(12, 984) = 984
GCD(12, 984) = ( 12 x 984 ) / 984
= 12 / 984
= 12
So, Greatest Common Divisor of 144, 204, 984 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 144, 204, 984
Given numbers are 144, 204, 984
The greatest common divisor of numbers 144, 204, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 204, 984 is 12.
FAQs on GCD of 144, 204, 984 Calculator
1. What is the GCD of 144, 204, 984?
GCD of given numbers 144, 204, 984 is 12
2. How to calculate the greatest common divisor of 144, 204, 984?
We can find the highest common divisor of 144, 204, 984 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 144, 204, 984 i.e 12.
3. How can I use the GCD of 144, 204, 984Calculator?
Out the numbers 144, 204, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.