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GCD of 432, 333, 366, 109 Calculator

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


Online GCD Calculator is useful to find the GCD of 432, 333, 366, 109 quickly. Get the easiest ways to solve the greatest common divisor of 432, 333, 366, 109 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 333, 366, 109 with Factoring?

Given Input numbers are 432, 333, 366, 109

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

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

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109


GCD of numbers is the greatest common divisor

So, the GCD (432, 333, 366, 109) = 1.

Find GCD of 432, 333, 366, 109 using Prime Factorization

Given numbers are 432, 333, 366, 109

The list of prime factors of all numbers are

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

Prime factors of 333 are 3 x 3 x 37

Prime factors of 366 are 2 x 3 x 61

Prime factors of 109 are 109

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 432, 333, 366, 109 using LCM Formula

Given numbers are 432, 333, 366, 109

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

Apply this formula for all numbers.

Step1:

LCM(432, 333) = 15984

GCD(432, 333) = ( 432 x 333 ) / 15984

= 432 / 333

= 432


Step2:

LCM(9, 366) = 1098

GCD(9, 366) = ( 9 x 366 ) / 1098

= 9 / 366

= 9


Step3:

LCM(3, 109) = 327

GCD(3, 109) = ( 3 x 109 ) / 327

= 3 / 109

= 3


So, Greatest Common Divisor of 432, 333, 366, 109 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 333, 366, 109

Given numbers are 432, 333, 366, 109
The greatest common divisor of numbers 432, 333, 366, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 333, 366, 109 is 1.

FAQs on GCD of 432, 333, 366, 109 Calculator

1. What is the GCD of 432, 333, 366, 109?

GCD of given numbers 432, 333, 366, 109 is 1


2. How to calculate the greatest common divisor of 432, 333, 366, 109?

We can find the highest common divisor of 432, 333, 366, 109 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 432, 333, 366, 109 i.e 1.


3. How can I use the GCD of 432, 333, 366, 109Calculator?

Out the numbers 432, 333, 366, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.