GCD of 225, 966, 836 Calculator

Given Input numbers are 225, 966, 836

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

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Greatest Common Divisior

We found the divisors of 225, 966, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 966, 836 is 1.

Therefore, GCD of numbers 225, 966, 836 is 1

Given Input Data is 225, 966, 836

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

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 836 is 2 x 2 x 11 x 19

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

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(225, 966) = 72450

GCD(225, 966) = ( 225 x 966 ) / 72450

GCD(225, 966) = 217350 / 72450

GCD(225, 966) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 836

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

LCM(3, 836) = 2508

GCD(3, 836) = ( 3 x 836 ) / 2508

GCD(3, 836) = 2508 / 2508

GCD(3, 836) = 1

GCD of 225, 966, 836 is 1

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1. What is the GCD of 225, 966, 836?

GCD of 225, 966, 836 is 1

2. Where do I get the detailed procedure to find GCD of 225, 966, 836?

You can find a detailed procedure to find GCD of 225, 966, 836 on our page.

3. How to find GCD of 225, 966, 836 on a calculator?

You can find the GCD of 225, 966, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.