GCD of 768, 400, 896 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 768, 400, 896 quickly. Get the easiest ways to solve the greatest common divisor of 768, 400, 896 i.e 16 in different methods as follows.
Given Input numbers are 768, 400, 896
In the factoring method, we have to find the divisors of all numbers
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
GCD of numbers is the greatest common divisor
So, the GCD (768, 400, 896) = 16.
Given numbers are 768, 400, 896
The list of prime factors of all numbers are
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 24
Therefore, GCD of 768, 400, 896 is 16.
Steps to Calculate GCD of 768, 400, 896 using LCM Formula
Given numbers are 768, 400, 896
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(768, 400) = 19200
GCD(768, 400) = ( 768 x 400 ) / 19200
= 768 / 400
= 768
Step2:
LCM(16, 896) = 896
GCD(16, 896) = ( 16 x 896 ) / 896
= 16 / 896
= 16
So, Greatest Common Divisor of 768, 400, 896 is 16
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 768, 400, 896
Given numbers are 768, 400, 896
The greatest common divisor of numbers 768, 400, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 400, 896 is 16.
FAQs on GCD of 768, 400, 896 Calculator
1. What is the GCD of 768, 400, 896?
GCD of given numbers 768, 400, 896 is 16
2. How to calculate the greatest common divisor of 768, 400, 896?
We can find the highest common divisor of 768, 400, 896 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 768, 400, 896 i.e 16.
3. How can I use the GCD of 768, 400, 896Calculator?
Out the numbers 768, 400, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.