GCD of 909, 765, 225 Calculator

Given Input numbers are 909, 765, 225

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 909, 765, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 765, 225 is 9.

Therefore, GCD of numbers 909, 765, 225 is 9

Given Input Data is 909, 765, 225

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 225 is 3 x 3 x 5 x 5

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

Step1:

Let's calculate the GCD of first two numbers

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

LCM(909, 765) = 77265

GCD(909, 765) = ( 909 x 765 ) / 77265

GCD(909, 765) = 695385 / 77265

GCD(909, 765) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 225

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

LCM(9, 225) = 225

GCD(9, 225) = ( 9 x 225 ) / 225

GCD(9, 225) = 2025 / 225

GCD(9, 225) = 9

GCD of 909, 765, 225 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 113, 312
• GCD of 176, 810, 688
• GCD of 247, 850, 361
• GCD of 621, 332, 119
• GCD of 264, 124, 626

1. What is the GCD of 909, 765, 225?

GCD of 909, 765, 225 is 9

2. Where do I get the detailed procedure to find GCD of 909, 765, 225?

You can find a detailed procedure to find GCD of 909, 765, 225 on our page.

3. How to find GCD of 909, 765, 225 on a calculator?

You can find the GCD of 909, 765, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.