GCD of 108, 319, 396, 775 Calculator

Given Input numbers are 108, 319, 396, 775

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 108, 319, 396, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 319, 396, 775 is 1.

Therefore, GCD of numbers 108, 319, 396, 775 is 1

Given Input Data is 108, 319, 396, 775

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 319 is 11 x 29

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 775 is 5 x 5 x 31

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, 319) = 34452

GCD(108, 319) = ( 108 x 319 ) / 34452

GCD(108, 319) = 34452 / 34452

GCD(108, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 108, 319, 396, 775 is 1

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1. What is the GCD of 108, 319, 396, 775?

GCD of 108, 319, 396, 775 is 1

2. Where do I get the detailed procedure to find GCD of 108, 319, 396, 775?

You can find a detailed procedure to find GCD of 108, 319, 396, 775 on our page.

3. How to find GCD of 108, 319, 396, 775 on a calculator?

You can find the GCD of 108, 319, 396, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.