GCD of 663, 802, 17, 260 Calculator

Given Input numbers are 663, 802, 17, 260

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 17

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

1, 17

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 663, 802, 17, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 802, 17, 260 is 1.

Therefore, GCD of numbers 663, 802, 17, 260 is 1

Given Input Data is 663, 802, 17, 260

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 802 is 2 x 401

Prime Factorization of 17 is 17

Prime Factorization of 260 is 2 x 2 x 5 x 13

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(663, 802) = 531726

GCD(663, 802) = ( 663 x 802 ) / 531726

GCD(663, 802) = 531726 / 531726

GCD(663, 802) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 663, 802, 17, 260 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 729, 77, 733
• GCD of 717, 844, 61, 655
• GCD of 756, 229, 63, 960
• GCD of 700, 190, 34, 717
• GCD of 238, 783, 74, 130

1. What is the GCD of 663, 802, 17, 260?

GCD of 663, 802, 17, 260 is 1

2. Where do I get the detailed procedure to find GCD of 663, 802, 17, 260?

You can find a detailed procedure to find GCD of 663, 802, 17, 260 on our page.

3. How to find GCD of 663, 802, 17, 260 on a calculator?

You can find the GCD of 663, 802, 17, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.