GCD of 26, 404, 509, 805 Calculator

Given Input numbers are 26, 404, 509, 805

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

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 509

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

1, 509

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Greatest Common Divisior

We found the divisors of 26, 404, 509, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 404, 509, 805 is 1.

Therefore, GCD of numbers 26, 404, 509, 805 is 1

Given Input Data is 26, 404, 509, 805

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 509 is 509

Prime Factorization of 805 is 5 x 7 x 23

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(26, 404) = 5252

GCD(26, 404) = ( 26 x 404 ) / 5252

GCD(26, 404) = 10504 / 5252

GCD(26, 404) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 509

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

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

GCD(2, 509) = 1018 / 1018

GCD(2, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

GCD of 26, 404, 509, 805 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 382, 238, 744
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• GCD of 71, 599, 819, 252
• GCD of 36, 441, 946, 971
• GCD of 54, 629, 299, 941

1. What is the GCD of 26, 404, 509, 805?

GCD of 26, 404, 509, 805 is 1

2. Where do I get the detailed procedure to find GCD of 26, 404, 509, 805?

You can find a detailed procedure to find GCD of 26, 404, 509, 805 on our page.

3. How to find GCD of 26, 404, 509, 805 on a calculator?

You can find the GCD of 26, 404, 509, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.