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GCD of 129, 855, 393, 909 Calculator

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


Online GCD Calculator is useful to find the GCD of 129, 855, 393, 909 quickly. Get the easiest ways to solve the greatest common divisor of 129, 855, 393, 909 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 129, 855, 393, 909 with Factoring?

Given Input numbers are 129, 855, 393, 909

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

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909


GCD of numbers is the greatest common divisor

So, the GCD (129, 855, 393, 909) = 3.

Find GCD of 129, 855, 393, 909 using Prime Factorization

Given numbers are 129, 855, 393, 909

The list of prime factors of all numbers are

Prime factors of 129 are 3 x 43

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 393 are 3 x 131

Prime factors of 909 are 3 x 3 x 101

The highest common occurrence is 31

Therefore, GCD of 129, 855, 393, 909 is 3.

Steps to Calculate GCD of 129, 855, 393, 909 using LCM Formula

Given numbers are 129, 855, 393, 909

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

Apply this formula for all numbers.

Step1:

LCM(129, 855) = 36765

GCD(129, 855) = ( 129 x 855 ) / 36765

= 129 / 855

= 129


Step2:

LCM(3, 393) = 393

GCD(3, 393) = ( 3 x 393 ) / 393

= 3 / 393

= 3


Step3:

LCM(3, 909) = 909

GCD(3, 909) = ( 3 x 909 ) / 909

= 3 / 909

= 3


So, Greatest Common Divisor of 129, 855, 393, 909 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 129, 855, 393, 909

Given numbers are 129, 855, 393, 909
The greatest common divisor of numbers 129, 855, 393, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 855, 393, 909 is 3.

FAQs on GCD of 129, 855, 393, 909 Calculator

1. What is the GCD of 129, 855, 393, 909?

GCD of given numbers 129, 855, 393, 909 is 3


2. How to calculate the greatest common divisor of 129, 855, 393, 909?

We can find the highest common divisor of 129, 855, 393, 909 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 129, 855, 393, 909 i.e 3.


3. How can I use the GCD of 129, 855, 393, 909Calculator?

Out the numbers 129, 855, 393, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.