GCD of 108, 396, 365, 515 Calculator

Given Input numbers are 108, 396, 365, 515

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 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 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Greatest Common Divisior

We found the divisors of 108, 396, 365, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 396, 365, 515 is 1.

Therefore, GCD of numbers 108, 396, 365, 515 is 1

Given Input Data is 108, 396, 365, 515

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 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 365 is 5 x 73

Prime Factorization of 515 is 5 x 103

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, 396) = 1188

GCD(108, 396) = ( 108 x 396 ) / 1188

GCD(108, 396) = 42768 / 1188

GCD(108, 396) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 365

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

LCM(36, 365) = 13140

GCD(36, 365) = ( 36 x 365 ) / 13140

GCD(36, 365) = 13140 / 13140

GCD(36, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 515

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

LCM(1, 515) = 515

GCD(1, 515) = ( 1 x 515 ) / 515

GCD(1, 515) = 515 / 515

GCD(1, 515) = 1

GCD of 108, 396, 365, 515 is 1

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• GCD of 311, 564, 656, 149
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1. What is the GCD of 108, 396, 365, 515?

GCD of 108, 396, 365, 515 is 1

2. Where do I get the detailed procedure to find GCD of 108, 396, 365, 515?

You can find a detailed procedure to find GCD of 108, 396, 365, 515 on our page.

3. How to find GCD of 108, 396, 365, 515 on a calculator?

You can find the GCD of 108, 396, 365, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.