GCD of 104, 538, 11, 206 Calculator

Given Input numbers are 104, 538, 11, 206

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 104, 538, 11, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 538, 11, 206 is 1.

Therefore, GCD of numbers 104, 538, 11, 206 is 1

Given Input Data is 104, 538, 11, 206

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 538 is 2 x 269

Prime Factorization of 11 is 11

Prime Factorization of 206 is 2 x 103

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(104, 538) = 27976

GCD(104, 538) = ( 104 x 538 ) / 27976

GCD(104, 538) = 55952 / 27976

GCD(104, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 104, 538, 11, 206 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 406, 47, 966
• GCD of 903, 925, 92, 775
• GCD of 185, 803, 97, 693
• GCD of 249, 319, 94, 909
• GCD of 740, 959, 90, 285

1. What is the GCD of 104, 538, 11, 206?

GCD of 104, 538, 11, 206 is 1

2. Where do I get the detailed procedure to find GCD of 104, 538, 11, 206?

You can find a detailed procedure to find GCD of 104, 538, 11, 206 on our page.

3. How to find GCD of 104, 538, 11, 206 on a calculator?

You can find the GCD of 104, 538, 11, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.