GCD of 924, 156, 792 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 924, 156, 792 quickly. Get the easiest ways to solve the greatest common divisor of 924, 156, 792 i.e 12 in different methods as follows.
Given Input numbers are 924, 156, 792
In the factoring method, we have to find the divisors of all numbers
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
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 (924, 156, 792) = 12.
Given numbers are 924, 156, 792
The list of prime factors of all numbers are
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 156 are 2 x 2 x 3 x 13
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 924, 156, 792 is 12.
Steps to Calculate GCD of 924, 156, 792 using LCM Formula
Given numbers are 924, 156, 792
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 156) = 12012
GCD(924, 156) = ( 924 x 156 ) / 12012
= 924 / 156
= 924
Step2:
LCM(12, 792) = 792
GCD(12, 792) = ( 12 x 792 ) / 792
= 12 / 792
= 12
So, Greatest Common Divisor of 924, 156, 792 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 924, 156, 792
Given numbers are 924, 156, 792
The greatest common divisor of numbers 924, 156, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 156, 792 is 12.
FAQs on GCD of 924, 156, 792 Calculator
1. What is the GCD of 924, 156, 792?
GCD of given numbers 924, 156, 792 is 12
2. How to calculate the greatest common divisor of 924, 156, 792?
We can find the highest common divisor of 924, 156, 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 924, 156, 792 i.e 12.
3. How can I use the GCD of 924, 156, 792Calculator?
Out the numbers 924, 156, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.