GCD of 108, 397, 72, 574 Calculator

Given Input numbers are 108, 397, 72, 574

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 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 108, 397, 72, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 397, 72, 574 is 1.

Therefore, GCD of numbers 108, 397, 72, 574 is 1

Given Input Data is 108, 397, 72, 574

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 397 is 397

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 574 is 2 x 7 x 41

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, 397) = 42876

GCD(108, 397) = ( 108 x 397 ) / 42876

GCD(108, 397) = 42876 / 42876

GCD(108, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 108, 397, 72, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 876, 93, 667
• GCD of 743, 538, 90, 846
• GCD of 119, 843, 68, 284
• GCD of 377, 369, 64, 275
• GCD of 100, 386, 28, 518

1. What is the GCD of 108, 397, 72, 574?

GCD of 108, 397, 72, 574 is 1

2. Where do I get the detailed procedure to find GCD of 108, 397, 72, 574?

You can find a detailed procedure to find GCD of 108, 397, 72, 574 on our page.

3. How to find GCD of 108, 397, 72, 574 on a calculator?

You can find the GCD of 108, 397, 72, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.