Online GCD Calculator is useful to find the GCD of 792, 192, 924 quickly. Get the easiest ways to solve the greatest common divisor of 792, 192, 924 i.e 12 in different methods as follows.
Given Input numbers are 792, 192, 924
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 192 :
The positive integer divisors of 192 that completely divides 192 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
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
GCD of numbers is the greatest common divisor
So, the GCD (792, 192, 924) = 12.
Given numbers are 792, 192, 924
The list of prime factors of all numbers are
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
The highest common occurrence is 22 x 31
Therefore, GCD of 792, 192, 924 is 12.
Given numbers are 792, 192, 924
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(792, 192) = 6336
GCD(792, 192) = ( 792 x 192 ) / 6336
= 792 / 192
= 792
Step2:
LCM(24, 924) = 1848
GCD(24, 924) = ( 24 x 924 ) / 1848
= 24 / 924
= 24
So, Greatest Common Divisor of 792, 192, 924 is 12
Here are some samples of GCD of Numbers calculations.
Given numbers are 792, 192, 924
The greatest common divisor of numbers 792, 192, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 192, 924 is 12.
1. What is the GCD of 792, 192, 924?
GCD of given numbers 792, 192, 924 is 12
2. How to calculate the greatest common divisor of 792, 192, 924?
We can find the highest common divisor of 792, 192, 924 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 792, 192, 924 i.e 12.
3. How can I use the GCD of 792, 192, 924Calculator?
Out the numbers 792, 192, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.