LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 792, 516, 768, 468 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 792, 516, 768, 468 quickly. Get the easiest ways to solve the greatest common divisor of 792, 516, 768, 468 i.e 12 in different methods as follows.

GCD of

How to Find GCD of Numbers 792, 516, 768, 468 with Factoring?

Given Input numbers are 792, 516, 768, 468

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468


GCD of numbers is the greatest common divisor

So, the GCD (792, 516, 768, 468) = 12.

Find GCD of 792, 516, 768, 468 using Prime Factorization

Given numbers are 792, 516, 768, 468

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 516 are 2 x 2 x 3 x 43

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 22 x 31

Therefore, GCD of 792, 516, 768, 468 is 12.

Steps to Calculate GCD of 792, 516, 768, 468 using LCM Formula

Given numbers are 792, 516, 768, 468

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(792, 516) = 34056

GCD(792, 516) = ( 792 x 516 ) / 34056

= 792 / 516

= 792


Step2:

LCM(12, 768) = 768

GCD(12, 768) = ( 12 x 768 ) / 768

= 12 / 768

= 12


Step3:

LCM(12, 468) = 468

GCD(12, 468) = ( 12 x 468 ) / 468

= 12 / 468

= 12


So, Greatest Common Divisor of 792, 516, 768, 468 is 12

GCD of Numbers Calculation Examples

Greatest Common Divisor of 792, 516, 768, 468

Given numbers are 792, 516, 768, 468
The greatest common divisor of numbers 792, 516, 768, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 516, 768, 468 is 12.

FAQs on GCD of 792, 516, 768, 468 Calculator

1. What is the GCD of 792, 516, 768, 468?

GCD of given numbers 792, 516, 768, 468 is 12


2. How to calculate the greatest common divisor of 792, 516, 768, 468?

We can find the highest common divisor of 792, 516, 768, 468 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, 516, 768, 468 i.e 12.


3. How can I use the GCD of 792, 516, 768, 468Calculator?

Out the numbers 792, 516, 768, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.