GCD of 261, 324, 50, 289 Calculator

Given Input numbers are 261, 324, 50, 289

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 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 289

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

1, 17, 289

Greatest Common Divisior

We found the divisors of 261, 324, 50, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 324, 50, 289 is 1.

Therefore, GCD of numbers 261, 324, 50, 289 is 1

Given Input Data is 261, 324, 50, 289

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 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 289 is 17 x 17

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, 324) = 9396

GCD(261, 324) = ( 261 x 324 ) / 9396

GCD(261, 324) = 84564 / 9396

GCD(261, 324) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 50

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

LCM(9, 50) = 450

GCD(9, 50) = ( 9 x 50 ) / 450

GCD(9, 50) = 450 / 450

GCD(9, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 261, 324, 50, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 687, 34, 782
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• GCD of 217, 966, 89, 224

1. What is the GCD of 261, 324, 50, 289?

GCD of 261, 324, 50, 289 is 1

2. Where do I get the detailed procedure to find GCD of 261, 324, 50, 289?

You can find a detailed procedure to find GCD of 261, 324, 50, 289 on our page.

3. How to find GCD of 261, 324, 50, 289 on a calculator?

You can find the GCD of 261, 324, 50, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.