GCD of 104, 638, 10, 886 Calculator

Given Input numbers are 104, 638, 10, 886

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 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 886

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

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 104, 638, 10, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 638, 10, 886 is 2.

Therefore, GCD of numbers 104, 638, 10, 886 is 2

Given Input Data is 104, 638, 10, 886

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 638 is 2 x 11 x 29

Prime Factorization of 10 is 2 x 5

Prime Factorization of 886 is 2 x 443

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 638) = 33176

GCD(104, 638) = ( 104 x 638 ) / 33176

GCD(104, 638) = 66352 / 33176

GCD(104, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

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

GCD of 104, 638, 10, 886 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 439, 18, 505
• GCD of 224, 716, 50, 296
• GCD of 100, 420, 23, 735
• GCD of 567, 424, 31, 358
• GCD of 360, 889, 41, 823

1. What is the GCD of 104, 638, 10, 886?

GCD of 104, 638, 10, 886 is 2

2. Where do I get the detailed procedure to find GCD of 104, 638, 10, 886?

You can find a detailed procedure to find GCD of 104, 638, 10, 886 on our page.

3. How to find GCD of 104, 638, 10, 886 on a calculator?

You can find the GCD of 104, 638, 10, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.