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GCD of 824, 908, 796, 792 Calculator

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


Online GCD Calculator is useful to find the GCD of 824, 908, 796, 792 quickly. Get the easiest ways to solve the greatest common divisor of 824, 908, 796, 792 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 824, 908, 796, 792 with Factoring?

Given Input numbers are 824, 908, 796, 792

In the factoring method, we have to find the divisors of all numbers

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

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 (824, 908, 796, 792) = 4.

Find GCD of 824, 908, 796, 792 using Prime Factorization

Given numbers are 824, 908, 796, 792

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 908 are 2 x 2 x 227

Prime factors of 796 are 2 x 2 x 199

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

The highest common occurrence is 22

Therefore, GCD of 824, 908, 796, 792 is 4.

Steps to Calculate GCD of 824, 908, 796, 792 using LCM Formula

Given numbers are 824, 908, 796, 792

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

Apply this formula for all numbers.

Step1:

LCM(824, 908) = 187048

GCD(824, 908) = ( 824 x 908 ) / 187048

= 824 / 908

= 824


Step2:

LCM(4, 796) = 796

GCD(4, 796) = ( 4 x 796 ) / 796

= 4 / 796

= 4


Step3:

LCM(4, 792) = 792

GCD(4, 792) = ( 4 x 792 ) / 792

= 4 / 792

= 4


So, Greatest Common Divisor of 824, 908, 796, 792 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 824, 908, 796, 792

Given numbers are 824, 908, 796, 792
The greatest common divisor of numbers 824, 908, 796, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 908, 796, 792 is 4.

FAQs on GCD of 824, 908, 796, 792 Calculator

1. What is the GCD of 824, 908, 796, 792?

GCD of given numbers 824, 908, 796, 792 is 4


2. How to calculate the greatest common divisor of 824, 908, 796, 792?

We can find the highest common divisor of 824, 908, 796, 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 824, 908, 796, 792 i.e 4.


3. How can I use the GCD of 824, 908, 796, 792Calculator?

Out the numbers 824, 908, 796, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.