GCD of 13, 826, 391, 198 Calculator

Given Input numbers are 13, 826, 391, 198

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 13, 826, 391, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 826, 391, 198 is 1.

Therefore, GCD of numbers 13, 826, 391, 198 is 1

Given Input Data is 13, 826, 391, 198

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

Prime Factorization of 13 is 13

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 391 is 17 x 23

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(13, 826) = 10738

GCD(13, 826) = ( 13 x 826 ) / 10738

GCD(13, 826) = 10738 / 10738

GCD(13, 826) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 391

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

LCM(1, 391) = 391

GCD(1, 391) = ( 1 x 391 ) / 391

GCD(1, 391) = 391 / 391

GCD(1, 391) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 13, 826, 391, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 763, 844, 392
• GCD of 77, 920, 287, 511
• GCD of 90, 164, 227, 350
• GCD of 63, 423, 480, 160
• GCD of 16, 246, 661, 744

1. What is the GCD of 13, 826, 391, 198?

GCD of 13, 826, 391, 198 is 1

2. Where do I get the detailed procedure to find GCD of 13, 826, 391, 198?

You can find a detailed procedure to find GCD of 13, 826, 391, 198 on our page.

3. How to find GCD of 13, 826, 391, 198 on a calculator?

You can find the GCD of 13, 826, 391, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.