GCD of 996, 540, 115, 329 Calculator

Given Input numbers are 996, 540, 115, 329

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 996, 540, 115, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 540, 115, 329 is 1.

Therefore, GCD of numbers 996, 540, 115, 329 is 1

Given Input Data is 996, 540, 115, 329

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 115 is 5 x 23

Prime Factorization of 329 is 7 x 47

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(996, 540) = 44820

GCD(996, 540) = ( 996 x 540 ) / 44820

GCD(996, 540) = 537840 / 44820

GCD(996, 540) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 115

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

LCM(12, 115) = 1380

GCD(12, 115) = ( 12 x 115 ) / 1380

GCD(12, 115) = 1380 / 1380

GCD(12, 115) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

GCD of 996, 540, 115, 329 is 1

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1. What is the GCD of 996, 540, 115, 329?

GCD of 996, 540, 115, 329 is 1

2. Where do I get the detailed procedure to find GCD of 996, 540, 115, 329?

You can find a detailed procedure to find GCD of 996, 540, 115, 329 on our page.

3. How to find GCD of 996, 540, 115, 329 on a calculator?

You can find the GCD of 996, 540, 115, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.