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GCD of 336, 903, 996 Calculator

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


Online GCD Calculator is useful to find the GCD of 336, 903, 996 quickly. Get the easiest ways to solve the greatest common divisor of 336, 903, 996 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 336, 903, 996 with Factoring?

Given Input numbers are 336, 903, 996

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 903 :

The positive integer divisors of 903 that completely divides 903 are.

1, 3, 7, 21, 43, 129, 301, 903

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


GCD of numbers is the greatest common divisor

So, the GCD (336, 903, 996) = 3.

Find GCD of 336, 903, 996 using Prime Factorization

Given numbers are 336, 903, 996

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 903 are 3 x 7 x 43

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

The highest common occurrence is 31

Therefore, GCD of 336, 903, 996 is 3.

Steps to Calculate GCD of 336, 903, 996 using LCM Formula

Given numbers are 336, 903, 996

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

Apply this formula for all numbers.

Step1:

LCM(336, 903) = 14448

GCD(336, 903) = ( 336 x 903 ) / 14448

= 336 / 903

= 336


Step2:

LCM(21, 996) = 6972

GCD(21, 996) = ( 21 x 996 ) / 6972

= 21 / 996

= 21


So, Greatest Common Divisor of 336, 903, 996 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 336, 903, 996

Given numbers are 336, 903, 996
The greatest common divisor of numbers 336, 903, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 903, 996 is 3.

FAQs on GCD of 336, 903, 996 Calculator

1. What is the GCD of 336, 903, 996?

GCD of given numbers 336, 903, 996 is 3


2. How to calculate the greatest common divisor of 336, 903, 996?

We can find the highest common divisor of 336, 903, 996 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 336, 903, 996 i.e 3.


3. How can I use the GCD of 336, 903, 996Calculator?

Out the numbers 336, 903, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.