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GCD of 132, 804, 432 Calculator

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


Online GCD Calculator is useful to find the GCD of 132, 804, 432 quickly. Get the easiest ways to solve the greatest common divisor of 132, 804, 432 i.e 12 in different methods as follows.

GCD of

How to Find GCD of Numbers 132, 804, 432 with Factoring?

Given Input numbers are 132, 804, 432

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432


GCD of numbers is the greatest common divisor

So, the GCD (132, 804, 432) = 12.

Find GCD of 132, 804, 432 using Prime Factorization

Given numbers are 132, 804, 432

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 22 x 31

Therefore, GCD of 132, 804, 432 is 12.

Steps to Calculate GCD of 132, 804, 432 using LCM Formula

Given numbers are 132, 804, 432

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

Apply this formula for all numbers.

Step1:

LCM(132, 804) = 8844

GCD(132, 804) = ( 132 x 804 ) / 8844

= 132 / 804

= 132


Step2:

LCM(12, 432) = 432

GCD(12, 432) = ( 12 x 432 ) / 432

= 12 / 432

= 12


So, Greatest Common Divisor of 132, 804, 432 is 12

GCD of Numbers Calculation Examples

Greatest Common Divisor of 132, 804, 432

Given numbers are 132, 804, 432
The greatest common divisor of numbers 132, 804, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 804, 432 is 12.

FAQs on GCD of 132, 804, 432 Calculator

1. What is the GCD of 132, 804, 432?

GCD of given numbers 132, 804, 432 is 12


2. How to calculate the greatest common divisor of 132, 804, 432?

We can find the highest common divisor of 132, 804, 432 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 132, 804, 432 i.e 12.


3. How can I use the GCD of 132, 804, 432Calculator?

Out the numbers 132, 804, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.