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GCD of 996, 384, 868 Calculator

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


Online GCD Calculator is useful to find the GCD of 996, 384, 868 quickly. Get the easiest ways to solve the greatest common divisor of 996, 384, 868 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 996, 384, 868 with Factoring?

Given Input numbers are 996, 384, 868

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

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

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868


GCD of numbers is the greatest common divisor

So, the GCD (996, 384, 868) = 4.

Find GCD of 996, 384, 868 using Prime Factorization

Given numbers are 996, 384, 868

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 868 are 2 x 2 x 7 x 31

The highest common occurrence is 22

Therefore, GCD of 996, 384, 868 is 4.

Steps to Calculate GCD of 996, 384, 868 using LCM Formula

Given numbers are 996, 384, 868

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

Apply this formula for all numbers.

Step1:

LCM(996, 384) = 31872

GCD(996, 384) = ( 996 x 384 ) / 31872

= 996 / 384

= 996


Step2:

LCM(12, 868) = 2604

GCD(12, 868) = ( 12 x 868 ) / 2604

= 12 / 868

= 12


So, Greatest Common Divisor of 996, 384, 868 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 996, 384, 868

Given numbers are 996, 384, 868
The greatest common divisor of numbers 996, 384, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 384, 868 is 4.

FAQs on GCD of 996, 384, 868 Calculator

1. What is the GCD of 996, 384, 868?

GCD of given numbers 996, 384, 868 is 4


2. How to calculate the greatest common divisor of 996, 384, 868?

We can find the highest common divisor of 996, 384, 868 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 996, 384, 868 i.e 4.


3. How can I use the GCD of 996, 384, 868Calculator?

Out the numbers 996, 384, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.