GCD of 112, 416, 384 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 112, 416, 384 quickly. Get the easiest ways to solve the greatest common divisor of 112, 416, 384 i.e 16 in different methods as follows.
Given Input numbers are 112, 416, 384
In the factoring method, we have to find the divisors of all numbers
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 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD of numbers is the greatest common divisor
So, the GCD (112, 416, 384) = 16.
Given numbers are 112, 416, 384
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 24
Therefore, GCD of 112, 416, 384 is 16.
Steps to Calculate GCD of 112, 416, 384 using LCM Formula
Given numbers are 112, 416, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 416) = 2912
GCD(112, 416) = ( 112 x 416 ) / 2912
= 112 / 416
= 112
Step2:
LCM(16, 384) = 384
GCD(16, 384) = ( 16 x 384 ) / 384
= 16 / 384
= 16
So, Greatest Common Divisor of 112, 416, 384 is 16
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 112, 416, 384
Given numbers are 112, 416, 384
The greatest common divisor of numbers 112, 416, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 416, 384 is 16.
FAQs on GCD of 112, 416, 384 Calculator
1. What is the GCD of 112, 416, 384?
GCD of given numbers 112, 416, 384 is 16
2. How to calculate the greatest common divisor of 112, 416, 384?
We can find the highest common divisor of 112, 416, 384 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 112, 416, 384 i.e 16.
3. How can I use the GCD of 112, 416, 384Calculator?
Out the numbers 112, 416, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.