GCD of 800, 112, 332 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 800, 112, 332 quickly. Get the easiest ways to solve the greatest common divisor of 800, 112, 332 i.e 4 in different methods as follows.
Given Input numbers are 800, 112, 332
In the factoring method, we have to find the divisors of all numbers
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
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 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
GCD of numbers is the greatest common divisor
So, the GCD (800, 112, 332) = 4.
Given numbers are 800, 112, 332
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 332 are 2 x 2 x 83
The highest common occurrence is 22
Therefore, GCD of 800, 112, 332 is 4.
Steps to Calculate GCD of 800, 112, 332 using LCM Formula
Given numbers are 800, 112, 332
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 112) = 5600
GCD(800, 112) = ( 800 x 112 ) / 5600
= 800 / 112
= 800
Step2:
LCM(16, 332) = 1328
GCD(16, 332) = ( 16 x 332 ) / 1328
= 16 / 332
= 16
So, Greatest Common Divisor of 800, 112, 332 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 800, 112, 332
Given numbers are 800, 112, 332
The greatest common divisor of numbers 800, 112, 332 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 112, 332 is 4.
FAQs on GCD of 800, 112, 332 Calculator
1. What is the GCD of 800, 112, 332?
GCD of given numbers 800, 112, 332 is 4
2. How to calculate the greatest common divisor of 800, 112, 332?
We can find the highest common divisor of 800, 112, 332 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 800, 112, 332 i.e 4.
3. How can I use the GCD of 800, 112, 332Calculator?
Out the numbers 800, 112, 332 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.