GCD of 261, 231, 11, 540 Calculator

Given Input numbers are 261, 231, 11, 540

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

Divisors of 261

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

1, 3, 9, 29, 87, 261

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 261, 231, 11, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 231, 11, 540 is 1.

Therefore, GCD of numbers 261, 231, 11, 540 is 1

Given Input Data is 261, 231, 11, 540

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 11 is 11

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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(261, 231) = 20097

GCD(261, 231) = ( 261 x 231 ) / 20097

GCD(261, 231) = 60291 / 20097

GCD(261, 231) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 11

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

LCM(3, 11) = 33

GCD(3, 11) = ( 3 x 11 ) / 33

GCD(3, 11) = 33 / 33

GCD(3, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 261, 231, 11, 540 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 823, 89, 904
• GCD of 436, 666, 41, 694
• GCD of 857, 930, 92, 422
• GCD of 540, 526, 19, 945
• GCD of 331, 560, 69, 648

1. What is the GCD of 261, 231, 11, 540?

GCD of 261, 231, 11, 540 is 1

2. Where do I get the detailed procedure to find GCD of 261, 231, 11, 540?

You can find a detailed procedure to find GCD of 261, 231, 11, 540 on our page.

3. How to find GCD of 261, 231, 11, 540 on a calculator?

You can find the GCD of 261, 231, 11, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.