GCD of 304, 112, 800 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 304, 112, 800 quickly. Get the easiest ways to solve the greatest common divisor of 304, 112, 800 i.e 16 in different methods as follows.
Given Input numbers are 304, 112, 800
In the factoring method, we have to find the divisors of all numbers
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
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 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
GCD of numbers is the greatest common divisor
So, the GCD (304, 112, 800) = 16.
Given numbers are 304, 112, 800
The list of prime factors of all numbers are
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 24
Therefore, GCD of 304, 112, 800 is 16.
Steps to Calculate GCD of 304, 112, 800 using LCM Formula
Given numbers are 304, 112, 800
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(304, 112) = 2128
GCD(304, 112) = ( 304 x 112 ) / 2128
= 304 / 112
= 304
Step2:
LCM(16, 800) = 800
GCD(16, 800) = ( 16 x 800 ) / 800
= 16 / 800
= 16
So, Greatest Common Divisor of 304, 112, 800 is 16
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 304, 112, 800
Given numbers are 304, 112, 800
The greatest common divisor of numbers 304, 112, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 112, 800 is 16.
FAQs on GCD of 304, 112, 800 Calculator
1. What is the GCD of 304, 112, 800?
GCD of given numbers 304, 112, 800 is 16
2. How to calculate the greatest common divisor of 304, 112, 800?
We can find the highest common divisor of 304, 112, 800 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 304, 112, 800 i.e 16.
3. How can I use the GCD of 304, 112, 800Calculator?
Out the numbers 304, 112, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.