GCD of 108, 886, 106, 814 Calculator

Given Input numbers are 108, 886, 106, 814

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 886

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

1, 2, 443, 886

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 108, 886, 106, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 886, 106, 814 is 2.

Therefore, GCD of numbers 108, 886, 106, 814 is 2

Given Input Data is 108, 886, 106, 814

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 886 is 2 x 443

Prime Factorization of 106 is 2 x 53

Prime Factorization of 814 is 2 x 11 x 37

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(108, 886) = 47844

GCD(108, 886) = ( 108 x 886 ) / 47844

GCD(108, 886) = 95688 / 47844

GCD(108, 886) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 814

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

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

GCD(2, 814) = 1628 / 814

GCD(2, 814) = 2

GCD of 108, 886, 106, 814 is 2

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1. What is the GCD of 108, 886, 106, 814?

GCD of 108, 886, 106, 814 is 2

2. Where do I get the detailed procedure to find GCD of 108, 886, 106, 814?

You can find a detailed procedure to find GCD of 108, 886, 106, 814 on our page.

3. How to find GCD of 108, 886, 106, 814 on a calculator?

You can find the GCD of 108, 886, 106, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.