GCD of 26, 828, 886, 849 Calculator

Given Input numbers are 26, 828, 886, 849

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 26, 828, 886, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 828, 886, 849 is 1.

Therefore, GCD of numbers 26, 828, 886, 849 is 1

Given Input Data is 26, 828, 886, 849

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 886 is 2 x 443

Prime Factorization of 849 is 3 x 283

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, 828) = 10764

GCD(26, 828) = ( 26 x 828 ) / 10764

GCD(26, 828) = 21528 / 10764

GCD(26, 828) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 886

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

LCM(2, 886) = 886

GCD(2, 886) = ( 2 x 886 ) / 886

GCD(2, 886) = 1772 / 886

GCD(2, 886) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 849

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

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

GCD(2, 849) = 1698 / 1698

GCD(2, 849) = 1

GCD of 26, 828, 886, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 133, 951, 476
• GCD of 25, 918, 700, 364
• GCD of 73, 360, 749, 418
• GCD of 86, 671, 333, 909
• GCD of 82, 333, 369, 251

1. What is the GCD of 26, 828, 886, 849?

GCD of 26, 828, 886, 849 is 1

2. Where do I get the detailed procedure to find GCD of 26, 828, 886, 849?

You can find a detailed procedure to find GCD of 26, 828, 886, 849 on our page.

3. How to find GCD of 26, 828, 886, 849 on a calculator?

You can find the GCD of 26, 828, 886, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.