GCD of 800, 192, 688 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 800, 192, 688 quickly. Get the easiest ways to solve the greatest common divisor of 800, 192, 688 i.e 16 in different methods as follows.
Given Input numbers are 800, 192, 688
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 192 :
The positive integer divisors of 192 that completely divides 192 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (800, 192, 688) = 16.
Given numbers are 800, 192, 688
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 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The highest common occurrence is 24
Therefore, GCD of 800, 192, 688 is 16.
Steps to Calculate GCD of 800, 192, 688 using LCM Formula
Given numbers are 800, 192, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 192) = 4800
GCD(800, 192) = ( 800 x 192 ) / 4800
= 800 / 192
= 800
Step2:
LCM(32, 688) = 1376
GCD(32, 688) = ( 32 x 688 ) / 1376
= 32 / 688
= 32
So, Greatest Common Divisor of 800, 192, 688 is 16
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 800, 192, 688
Given numbers are 800, 192, 688
The greatest common divisor of numbers 800, 192, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 192, 688 is 16.
FAQs on GCD of 800, 192, 688 Calculator
1. What is the GCD of 800, 192, 688?
GCD of given numbers 800, 192, 688 is 16
2. How to calculate the greatest common divisor of 800, 192, 688?
We can find the highest common divisor of 800, 192, 688 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, 192, 688 i.e 16.
3. How can I use the GCD of 800, 192, 688Calculator?
Out the numbers 800, 192, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.