GCD of 108, 442, 929, 106 Calculator

Given Input numbers are 108, 442, 929, 106

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 106

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

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 108, 442, 929, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 442, 929, 106 is 1.

Therefore, GCD of numbers 108, 442, 929, 106 is 1

Given Input Data is 108, 442, 929, 106

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 442 is 2 x 13 x 17

Prime Factorization of 929 is 929

Prime Factorization of 106 is 2 x 53

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(108, 442) = 23868

GCD(108, 442) = ( 108 x 442 ) / 23868

GCD(108, 442) = 47736 / 23868

GCD(108, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 929

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

LCM(2, 929) = 1858

GCD(2, 929) = ( 2 x 929 ) / 1858

GCD(2, 929) = 1858 / 1858

GCD(2, 929) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 108, 442, 929, 106 is 1

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• GCD of 697, 513, 913, 693
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1. What is the GCD of 108, 442, 929, 106?

GCD of 108, 442, 929, 106 is 1

2. Where do I get the detailed procedure to find GCD of 108, 442, 929, 106?

You can find a detailed procedure to find GCD of 108, 442, 929, 106 on our page.

3. How to find GCD of 108, 442, 929, 106 on a calculator?

You can find the GCD of 108, 442, 929, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.