GCD of 232, 338, 26, 805 Calculator

Given Input numbers are 232, 338, 26, 805

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 26

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

1, 2, 13, 26

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 232, 338, 26, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 338, 26, 805 is 1.

Therefore, GCD of numbers 232, 338, 26, 805 is 1

Given Input Data is 232, 338, 26, 805

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 26 is 2 x 13

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(232, 338) = 39208

GCD(232, 338) = ( 232 x 338 ) / 39208

GCD(232, 338) = 78416 / 39208

GCD(232, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 805

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

LCM(2, 805) = 1610

GCD(2, 805) = ( 2 x 805 ) / 1610

GCD(2, 805) = 1610 / 1610

GCD(2, 805) = 1

GCD of 232, 338, 26, 805 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 258, 67, 449
• GCD of 810, 771, 19, 200
• GCD of 565, 170, 75, 938
• GCD of 445, 259, 87, 670
• GCD of 737, 394, 30, 322

1. What is the GCD of 232, 338, 26, 805?

GCD of 232, 338, 26, 805 is 1

2. Where do I get the detailed procedure to find GCD of 232, 338, 26, 805?

You can find a detailed procedure to find GCD of 232, 338, 26, 805 on our page.

3. How to find GCD of 232, 338, 26, 805 on a calculator?

You can find the GCD of 232, 338, 26, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.