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GCD of 999, 936, 636 Calculator

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


Online GCD Calculator is useful to find the GCD of 999, 936, 636 quickly. Get the easiest ways to solve the greatest common divisor of 999, 936, 636 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 999, 936, 636 with Factoring?

Given Input numbers are 999, 936, 636

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

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636


GCD of numbers is the greatest common divisor

So, the GCD (999, 936, 636) = 3.

Find GCD of 999, 936, 636 using Prime Factorization

Given numbers are 999, 936, 636

The list of prime factors of all numbers are

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 636 are 2 x 2 x 3 x 53

The highest common occurrence is 31

Therefore, GCD of 999, 936, 636 is 3.

Steps to Calculate GCD of 999, 936, 636 using LCM Formula

Given numbers are 999, 936, 636

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

Apply this formula for all numbers.

Step1:

LCM(999, 936) = 103896

GCD(999, 936) = ( 999 x 936 ) / 103896

= 999 / 936

= 999


Step2:

LCM(9, 636) = 1908

GCD(9, 636) = ( 9 x 636 ) / 1908

= 9 / 636

= 9


So, Greatest Common Divisor of 999, 936, 636 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 999, 936, 636

Given numbers are 999, 936, 636
The greatest common divisor of numbers 999, 936, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 936, 636 is 3.

FAQs on GCD of 999, 936, 636 Calculator

1. What is the GCD of 999, 936, 636?

GCD of given numbers 999, 936, 636 is 3


2. How to calculate the greatest common divisor of 999, 936, 636?

We can find the highest common divisor of 999, 936, 636 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 999, 936, 636 i.e 3.


3. How can I use the GCD of 999, 936, 636Calculator?

Out the numbers 999, 936, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.