Where do I get the detailed procedure to find GCD of 909, 675, 36?

You can find a detailed procedure to find GCD of 909, 675, 36 on our page.

How to find GCD of 909, 675, 36 on a calculator?

You can find the GCD of 909, 675, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 909, 675, 36 Calculator

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

Online GCD Calculator is useful to find the GCD of 909, 675, 36 quickly. Get the easiest ways to solve the greatest common divisor of 909, 675, 36 i.e 9 in different methods as follows.

How to Find GCD of Numbers 909, 675, 36 with Factoring?

Given Input numbers are 909, 675, 36

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

Divisors of 909 :

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

1, 3, 9, 101, 303, 909

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

GCD of numbers is the greatest common divisor

So, the GCD (909, 675, 36) = 9.

Find GCD of 909, 675, 36 using Prime Factorization

Given numbers are 909, 675, 36

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 36 are 2 x 2 x 3 x 3

The highest common occurrence is 3²

Therefore, GCD of 909, 675, 36 is 9.

Steps to Calculate GCD of 909, 675, 36 using LCM Formula

Given numbers are 909, 675, 36

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

Apply this formula for all numbers.

Step1:

LCM(909, 675) = 68175

GCD(909, 675) = ( 909 x 675 ) / 68175

= 909 / 675

= 909

Step2:

LCM(9, 36) = 36

GCD(9, 36) = ( 9 x 36 ) / 36

= 9 / 36

= 9

So, Greatest Common Divisor of 909, 675, 36 is 9

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 909, 675, 36

Given numbers are 909, 675, 36
The greatest common divisor of numbers 909, 675, 36 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 675, 36 is 9.

FAQs on GCD of 909, 675, 36 Calculator

1. What is the GCD of 909, 675, 36?

GCD of given numbers 909, 675, 36 is 9

2. How to calculate the greatest common divisor of 909, 675, 36?

We can find the highest common divisor of 909, 675, 36 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 909, 675, 36 i.e 9.

3. How can I use the GCD of 909, 675, 36Calculator?

Out the numbers 909, 675, 36 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.