GCD of 17, 196, 365, 581 Calculator

Given Input numbers are 17, 196, 365, 581

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 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 17, 196, 365, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 196, 365, 581 is 1.

Therefore, GCD of numbers 17, 196, 365, 581 is 1

Given Input Data is 17, 196, 365, 581

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

Prime Factorization of 17 is 17

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 365 is 5 x 73

Prime Factorization of 581 is 7 x 83

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, 196) = 3332

GCD(17, 196) = ( 17 x 196 ) / 3332

GCD(17, 196) = 3332 / 3332

GCD(17, 196) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 581

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

LCM(1, 581) = 581

GCD(1, 581) = ( 1 x 581 ) / 581

GCD(1, 581) = 581 / 581

GCD(1, 581) = 1

GCD of 17, 196, 365, 581 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 710, 326, 909
• GCD of 47, 696, 276, 713
• GCD of 80, 740, 884, 419
• GCD of 41, 107, 501, 589
• GCD of 25, 434, 910, 889

1. What is the GCD of 17, 196, 365, 581?

GCD of 17, 196, 365, 581 is 1

2. Where do I get the detailed procedure to find GCD of 17, 196, 365, 581?

You can find a detailed procedure to find GCD of 17, 196, 365, 581 on our page.

3. How to find GCD of 17, 196, 365, 581 on a calculator?

You can find the GCD of 17, 196, 365, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.