GCD of 828, 108, 288 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 828, 108, 288 quickly. Get the easiest ways to solve the greatest common divisor of 828, 108, 288 i.e 36 in different methods as follows.
Given Input numbers are 828, 108, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (828, 108, 288) = 36.
Given numbers are 828, 108, 288
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 22 x 32
Therefore, GCD of 828, 108, 288 is 36.
Steps to Calculate GCD of 828, 108, 288 using LCM Formula
Given numbers are 828, 108, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 108) = 2484
GCD(828, 108) = ( 828 x 108 ) / 2484
= 828 / 108
= 828
Step2:
LCM(36, 288) = 288
GCD(36, 288) = ( 36 x 288 ) / 288
= 36 / 288
= 36
So, Greatest Common Divisor of 828, 108, 288 is 36
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 828, 108, 288
Given numbers are 828, 108, 288
The greatest common divisor of numbers 828, 108, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 108, 288 is 36.
FAQs on GCD of 828, 108, 288 Calculator
1. What is the GCD of 828, 108, 288?
GCD of given numbers 828, 108, 288 is 36
2. How to calculate the greatest common divisor of 828, 108, 288?
We can find the highest common divisor of 828, 108, 288 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 828, 108, 288 i.e 36.
3. How can I use the GCD of 828, 108, 288Calculator?
Out the numbers 828, 108, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.