GCD of 225, 289, 381, 607 Calculator

Given Input numbers are 225, 289, 381, 607

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Greatest Common Divisior

We found the divisors of 225, 289, 381, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 289, 381, 607 is 1.

Therefore, GCD of numbers 225, 289, 381, 607 is 1

Given Input Data is 225, 289, 381, 607

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 289 is 17 x 17

Prime Factorization of 381 is 3 x 127

Prime Factorization of 607 is 607

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, 289) = 65025

GCD(225, 289) = ( 225 x 289 ) / 65025

GCD(225, 289) = 65025 / 65025

GCD(225, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 607

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

LCM(1, 607) = 607

GCD(1, 607) = ( 1 x 607 ) / 607

GCD(1, 607) = 607 / 607

GCD(1, 607) = 1

GCD of 225, 289, 381, 607 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 726, 656, 530
• GCD of 488, 194, 276, 861
• GCD of 597, 639, 452, 969
• GCD of 804, 699, 129, 625
• GCD of 382, 386, 974, 136

1. What is the GCD of 225, 289, 381, 607?

GCD of 225, 289, 381, 607 is 1

2. Where do I get the detailed procedure to find GCD of 225, 289, 381, 607?

You can find a detailed procedure to find GCD of 225, 289, 381, 607 on our page.

3. How to find GCD of 225, 289, 381, 607 on a calculator?

You can find the GCD of 225, 289, 381, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.