GCD of 636, 576, 96 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 636, 576, 96 quickly. Get the easiest ways to solve the greatest common divisor of 636, 576, 96 i.e 12 in different methods as follows.
Given Input numbers are 636, 576, 96
In the factoring method, we have to find the divisors of all numbers
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 96 :
The positive integer divisors of 96 that completely divides 96 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
GCD of numbers is the greatest common divisor
So, the GCD (636, 576, 96) = 12.
Given numbers are 636, 576, 96
The list of prime factors of all numbers are
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 22 x 31
Therefore, GCD of 636, 576, 96 is 12.
Steps to Calculate GCD of 636, 576, 96 using LCM Formula
Given numbers are 636, 576, 96
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(636, 576) = 30528
GCD(636, 576) = ( 636 x 576 ) / 30528
= 636 / 576
= 636
Step2:
LCM(12, 96) = 96
GCD(12, 96) = ( 12 x 96 ) / 96
= 12 / 96
= 12
So, Greatest Common Divisor of 636, 576, 96 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 636, 576, 96
Given numbers are 636, 576, 96
The greatest common divisor of numbers 636, 576, 96 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 576, 96 is 12.
FAQs on GCD of 636, 576, 96 Calculator
1. What is the GCD of 636, 576, 96?
GCD of given numbers 636, 576, 96 is 12
2. How to calculate the greatest common divisor of 636, 576, 96?
We can find the highest common divisor of 636, 576, 96 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 636, 576, 96 i.e 12.
3. How can I use the GCD of 636, 576, 96Calculator?
Out the numbers 636, 576, 96 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.