GCD of 225, 725, 821 Calculator

Given Input numbers are 225, 725, 821

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 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 225, 725, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 725, 821 is 1.

Therefore, GCD of numbers 225, 725, 821 is 1

Given Input Data is 225, 725, 821

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 725 is 5 x 5 x 29

Prime Factorization of 821 is 821

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, 725) = 6525

GCD(225, 725) = ( 225 x 725 ) / 6525

GCD(225, 725) = 163125 / 6525

GCD(225, 725) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 821

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

LCM(25, 821) = 20525

GCD(25, 821) = ( 25 x 821 ) / 20525

GCD(25, 821) = 20525 / 20525

GCD(25, 821) = 1

GCD of 225, 725, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 785, 308
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1. What is the GCD of 225, 725, 821?

GCD of 225, 725, 821 is 1

2. Where do I get the detailed procedure to find GCD of 225, 725, 821?

You can find a detailed procedure to find GCD of 225, 725, 821 on our page.

3. How to find GCD of 225, 725, 821 on a calculator?

You can find the GCD of 225, 725, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.