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GCD of 636, 900, 936 Calculator

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


Online GCD Calculator is useful to find the GCD of 636, 900, 936 quickly. Get the easiest ways to solve the greatest common divisor of 636, 900, 936 i.e 12 in different methods as follows.

GCD of

How to Find GCD of Numbers 636, 900, 936 with Factoring?

Given Input numbers are 636, 900, 936

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

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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


GCD of numbers is the greatest common divisor

So, the GCD (636, 900, 936) = 12.

Find GCD of 636, 900, 936 using Prime Factorization

Given numbers are 636, 900, 936

The list of prime factors of all numbers are

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

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

The highest common occurrence is 22 x 31

Therefore, GCD of 636, 900, 936 is 12.

Steps to Calculate GCD of 636, 900, 936 using LCM Formula

Given numbers are 636, 900, 936

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

Apply this formula for all numbers.

Step1:

LCM(636, 900) = 47700

GCD(636, 900) = ( 636 x 900 ) / 47700

= 636 / 900

= 636


Step2:

LCM(12, 936) = 936

GCD(12, 936) = ( 12 x 936 ) / 936

= 12 / 936

= 12


So, Greatest Common Divisor of 636, 900, 936 is 12

GCD of Numbers Calculation Examples

Greatest Common Divisor of 636, 900, 936

Given numbers are 636, 900, 936
The greatest common divisor of numbers 636, 900, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 900, 936 is 12.

FAQs on GCD of 636, 900, 936 Calculator

1. What is the GCD of 636, 900, 936?

GCD of given numbers 636, 900, 936 is 12


2. How to calculate the greatest common divisor of 636, 900, 936?

We can find the highest common divisor of 636, 900, 936 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 636, 900, 936 i.e 12.


3. How can I use the GCD of 636, 900, 936Calculator?

Out the numbers 636, 900, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.