GCD of 324, 112, 478 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 324, 112, 478 quickly. Get the easiest ways to solve the greatest common divisor of 324, 112, 478 i.e 2 in different methods as follows.
Given Input numbers are 324, 112, 478
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 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
GCD of numbers is the greatest common divisor
So, the GCD (324, 112, 478) = 2.
Given numbers are 324, 112, 478
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 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 478 are 2 x 239
The highest common occurrence is 21
Therefore, GCD of 324, 112, 478 is 2.
Steps to Calculate GCD of 324, 112, 478 using LCM Formula
Given numbers are 324, 112, 478
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 112) = 9072
GCD(324, 112) = ( 324 x 112 ) / 9072
= 324 / 112
= 324
Step2:
LCM(4, 478) = 956
GCD(4, 478) = ( 4 x 478 ) / 956
= 4 / 478
= 4
So, Greatest Common Divisor of 324, 112, 478 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 324, 112, 478
Given numbers are 324, 112, 478
The greatest common divisor of numbers 324, 112, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 112, 478 is 2.
FAQs on GCD of 324, 112, 478 Calculator
1. What is the GCD of 324, 112, 478?
GCD of given numbers 324, 112, 478 is 2
2. How to calculate the greatest common divisor of 324, 112, 478?
We can find the highest common divisor of 324, 112, 478 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, 112, 478 i.e 2.
3. How can I use the GCD of 324, 112, 478Calculator?
Out the numbers 324, 112, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.