GCD of 39, 936, 328, 400 Calculator

Given Input numbers are 39, 936, 328, 400

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 39, 936, 328, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 936, 328, 400 is 1.

Therefore, GCD of numbers 39, 936, 328, 400 is 1

Given Input Data is 39, 936, 328, 400

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(39, 936) = 936

GCD(39, 936) = ( 39 x 936 ) / 936

GCD(39, 936) = 36504 / 936

GCD(39, 936) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 328

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

LCM(39, 328) = 12792

GCD(39, 328) = ( 39 x 328 ) / 12792

GCD(39, 328) = 12792 / 12792

GCD(39, 328) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 39, 936, 328, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 234, 715, 623
• GCD of 90, 262, 177, 226
• GCD of 32, 510, 237, 882
• GCD of 68, 704, 396, 128
• GCD of 32, 426, 825, 477

1. What is the GCD of 39, 936, 328, 400?

GCD of 39, 936, 328, 400 is 1

2. Where do I get the detailed procedure to find GCD of 39, 936, 328, 400?

You can find a detailed procedure to find GCD of 39, 936, 328, 400 on our page.

3. How to find GCD of 39, 936, 328, 400 on a calculator?

You can find the GCD of 39, 936, 328, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.