GCD of 328, 494, 29, 108 Calculator

Given Input numbers are 328, 494, 29, 108

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

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

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

Greatest Common Divisior

We found the divisors of 328, 494, 29, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 494, 29, 108 is 1.

Therefore, GCD of numbers 328, 494, 29, 108 is 1

Given Input Data is 328, 494, 29, 108

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

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 29 is 29

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

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(328, 494) = 81016

GCD(328, 494) = ( 328 x 494 ) / 81016

GCD(328, 494) = 162032 / 81016

GCD(328, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 328, 494, 29, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 975, 46, 577
• GCD of 796, 392, 22, 168
• GCD of 329, 175, 37, 749
• GCD of 844, 660, 81, 944
• GCD of 392, 979, 34, 769

1. What is the GCD of 328, 494, 29, 108?

GCD of 328, 494, 29, 108 is 1

2. Where do I get the detailed procedure to find GCD of 328, 494, 29, 108?

You can find a detailed procedure to find GCD of 328, 494, 29, 108 on our page.

3. How to find GCD of 328, 494, 29, 108 on a calculator?

You can find the GCD of 328, 494, 29, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.