GCD of 809, 260, 61, 531 Calculator

Given Input numbers are 809, 260, 61, 531

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

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 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Greatest Common Divisior

We found the divisors of 809, 260, 61, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 260, 61, 531 is 1.

Therefore, GCD of numbers 809, 260, 61, 531 is 1

Given Input Data is 809, 260, 61, 531

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

Prime Factorization of 809 is 809

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

Prime Factorization of 61 is 61

Prime Factorization of 531 is 3 x 3 x 59

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(809, 260) = 210340

GCD(809, 260) = ( 809 x 260 ) / 210340

GCD(809, 260) = 210340 / 210340

GCD(809, 260) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 531

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

LCM(1, 531) = 531

GCD(1, 531) = ( 1 x 531 ) / 531

GCD(1, 531) = 531 / 531

GCD(1, 531) = 1

GCD of 809, 260, 61, 531 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 268, 90, 225
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• GCD of 117, 103, 23, 326

1. What is the GCD of 809, 260, 61, 531?

GCD of 809, 260, 61, 531 is 1

2. Where do I get the detailed procedure to find GCD of 809, 260, 61, 531?

You can find a detailed procedure to find GCD of 809, 260, 61, 531 on our page.

3. How to find GCD of 809, 260, 61, 531 on a calculator?

You can find the GCD of 809, 260, 61, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.