GCD of 17, 266, 590, 261 Calculator

Given Input numbers are 17, 266, 590, 261

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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 17, 266, 590, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 266, 590, 261 is 1.

Therefore, GCD of numbers 17, 266, 590, 261 is 1

Given Input Data is 17, 266, 590, 261

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

Prime Factorization of 17 is 17

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 590 is 2 x 5 x 59

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(17, 266) = 4522

GCD(17, 266) = ( 17 x 266 ) / 4522

GCD(17, 266) = 4522 / 4522

GCD(17, 266) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

GCD of 17, 266, 590, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 962, 603, 250
• GCD of 54, 873, 238, 727
• GCD of 80, 879, 344, 819
• GCD of 14, 843, 580, 235
• GCD of 88, 118, 898, 585

1. What is the GCD of 17, 266, 590, 261?

GCD of 17, 266, 590, 261 is 1

2. Where do I get the detailed procedure to find GCD of 17, 266, 590, 261?

You can find a detailed procedure to find GCD of 17, 266, 590, 261 on our page.

3. How to find GCD of 17, 266, 590, 261 on a calculator?

You can find the GCD of 17, 266, 590, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.