GCD of 324, 276, 984 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 324, 276, 984 quickly. Get the easiest ways to solve the greatest common divisor of 324, 276, 984 i.e 12 in different methods as follows.
Given Input numbers are 324, 276, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
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 (324, 276, 984) = 12.
Given numbers are 324, 276, 984
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 276 are 2 x 2 x 3 x 23
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 324, 276, 984 is 12.
Steps to Calculate GCD of 324, 276, 984 using LCM Formula
Given numbers are 324, 276, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 276) = 7452
GCD(324, 276) = ( 324 x 276 ) / 7452
= 324 / 276
= 324
Step2:
LCM(12, 984) = 984
GCD(12, 984) = ( 12 x 984 ) / 984
= 12 / 984
= 12
So, Greatest Common Divisor of 324, 276, 984 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 324, 276, 984
Given numbers are 324, 276, 984
The greatest common divisor of numbers 324, 276, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 276, 984 is 12.
FAQs on GCD of 324, 276, 984 Calculator
1. What is the GCD of 324, 276, 984?
GCD of given numbers 324, 276, 984 is 12
2. How to calculate the greatest common divisor of 324, 276, 984?
We can find the highest common divisor of 324, 276, 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 324, 276, 984 i.e 12.
3. How can I use the GCD of 324, 276, 984Calculator?
Out the numbers 324, 276, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.