GCD of 108, 912, 792 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 108, 912, 792 quickly. Get the easiest ways to solve the greatest common divisor of 108, 912, 792 i.e 12 in different methods as follows.
Given Input numbers are 108, 912, 792
In the factoring method, we have to find the divisors of all numbers
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 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
GCD of numbers is the greatest common divisor
So, the GCD (108, 912, 792) = 12.
Given numbers are 108, 912, 792
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
The highest common occurrence is 22 x 31
Therefore, GCD of 108, 912, 792 is 12.
Steps to Calculate GCD of 108, 912, 792 using LCM Formula
Given numbers are 108, 912, 792
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 912) = 8208
GCD(108, 912) = ( 108 x 912 ) / 8208
= 108 / 912
= 108
Step2:
LCM(12, 792) = 792
GCD(12, 792) = ( 12 x 792 ) / 792
= 12 / 792
= 12
So, Greatest Common Divisor of 108, 912, 792 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 108, 912, 792
Given numbers are 108, 912, 792
The greatest common divisor of numbers 108, 912, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 912, 792 is 12.
FAQs on GCD of 108, 912, 792 Calculator
1. What is the GCD of 108, 912, 792?
GCD of given numbers 108, 912, 792 is 12
2. How to calculate the greatest common divisor of 108, 912, 792?
We can find the highest common divisor of 108, 912, 792 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 108, 912, 792 i.e 12.
3. How can I use the GCD of 108, 912, 792Calculator?
Out the numbers 108, 912, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.