GCD of 260, 509, 41, 813 Calculator

Given Input numbers are 260, 509, 41, 813

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

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 260, 509, 41, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 509, 41, 813 is 1.

Therefore, GCD of numbers 260, 509, 41, 813 is 1

Given Input Data is 260, 509, 41, 813

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

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

Prime Factorization of 509 is 509

Prime Factorization of 41 is 41

Prime Factorization of 813 is 3 x 271

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(260, 509) = 132340

GCD(260, 509) = ( 260 x 509 ) / 132340

GCD(260, 509) = 132340 / 132340

GCD(260, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 260, 509, 41, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 215, 48, 508
• GCD of 967, 697, 61, 324
• GCD of 291, 719, 75, 767
• GCD of 289, 669, 40, 709
• GCD of 617, 259, 67, 132

1. What is the GCD of 260, 509, 41, 813?

GCD of 260, 509, 41, 813 is 1

2. Where do I get the detailed procedure to find GCD of 260, 509, 41, 813?

You can find a detailed procedure to find GCD of 260, 509, 41, 813 on our page.

3. How to find GCD of 260, 509, 41, 813 on a calculator?

You can find the GCD of 260, 509, 41, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.