GCD of 792, 924, 309 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 792, 924, 309 quickly. Get the easiest ways to solve the greatest common divisor of 792, 924, 309 i.e 3 in different methods as follows.
Given Input numbers are 792, 924, 309
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 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 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (792, 924, 309) = 3.
Given numbers are 792, 924, 309
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 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 309 are 3 x 103
The highest common occurrence is 31
Therefore, GCD of 792, 924, 309 is 3.
Steps to Calculate GCD of 792, 924, 309 using LCM Formula
Given numbers are 792, 924, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(792, 924) = 5544
GCD(792, 924) = ( 792 x 924 ) / 5544
= 792 / 924
= 792
Step2:
LCM(132, 309) = 13596
GCD(132, 309) = ( 132 x 309 ) / 13596
= 132 / 309
= 132
So, Greatest Common Divisor of 792, 924, 309 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 792, 924, 309
Given numbers are 792, 924, 309
The greatest common divisor of numbers 792, 924, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 924, 309 is 3.
FAQs on GCD of 792, 924, 309 Calculator
1. What is the GCD of 792, 924, 309?
GCD of given numbers 792, 924, 309 is 3
2. How to calculate the greatest common divisor of 792, 924, 309?
We can find the highest common divisor of 792, 924, 309 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, 924, 309 i.e 3.
3. How can I use the GCD of 792, 924, 309Calculator?
Out the numbers 792, 924, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.