GCD of 225, 640, 230, 261 Calculator

Given Input numbers are 225, 640, 230, 261

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 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 225, 640, 230, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 640, 230, 261 is 1.

Therefore, GCD of numbers 225, 640, 230, 261 is 1

Given Input Data is 225, 640, 230, 261

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 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 261 is 3 x 3 x 29

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, 640) = 28800

GCD(225, 640) = ( 225 x 640 ) / 28800

GCD(225, 640) = 144000 / 28800

GCD(225, 640) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 230

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

LCM(5, 230) = 230

GCD(5, 230) = ( 5 x 230 ) / 230

GCD(5, 230) = 1150 / 230

GCD(5, 230) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 261

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

LCM(5, 261) = 1305

GCD(5, 261) = ( 5 x 261 ) / 1305

GCD(5, 261) = 1305 / 1305

GCD(5, 261) = 1

GCD of 225, 640, 230, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 652, 542, 185
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• GCD of 187, 902, 868, 160

1. What is the GCD of 225, 640, 230, 261?

GCD of 225, 640, 230, 261 is 1

2. Where do I get the detailed procedure to find GCD of 225, 640, 230, 261?

You can find a detailed procedure to find GCD of 225, 640, 230, 261 on our page.

3. How to find GCD of 225, 640, 230, 261 on a calculator?

You can find the GCD of 225, 640, 230, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.