GCD of 108, 927, 12, 349 Calculator

Given Input numbers are 108, 927, 12, 349

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 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 108, 927, 12, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 927, 12, 349 is 1.

Therefore, GCD of numbers 108, 927, 12, 349 is 1

Given Input Data is 108, 927, 12, 349

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 927 is 3 x 3 x 103

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 349 is 349

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, 927) = 11124

GCD(108, 927) = ( 108 x 927 ) / 11124

GCD(108, 927) = 100116 / 11124

GCD(108, 927) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 12

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

LCM(9, 12) = 36

GCD(9, 12) = ( 9 x 12 ) / 36

GCD(9, 12) = 108 / 36

GCD(9, 12) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 349

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

LCM(3, 349) = 1047

GCD(3, 349) = ( 3 x 349 ) / 1047

GCD(3, 349) = 1047 / 1047

GCD(3, 349) = 1

GCD of 108, 927, 12, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 655, 51, 342
• GCD of 561, 966, 29, 239
• GCD of 275, 191, 43, 134
• GCD of 500, 291, 99, 995
• GCD of 954, 220, 64, 876

1. What is the GCD of 108, 927, 12, 349?

GCD of 108, 927, 12, 349 is 1

2. Where do I get the detailed procedure to find GCD of 108, 927, 12, 349?

You can find a detailed procedure to find GCD of 108, 927, 12, 349 on our page.

3. How to find GCD of 108, 927, 12, 349 on a calculator?

You can find the GCD of 108, 927, 12, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.