GCD of 400, 865, 47, 318 Calculator

Given Input numbers are 400, 865, 47, 318

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

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

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 400, 865, 47, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 865, 47, 318 is 1.

Therefore, GCD of numbers 400, 865, 47, 318 is 1

Given Input Data is 400, 865, 47, 318

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

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

Prime Factorization of 865 is 5 x 173

Prime Factorization of 47 is 47

Prime Factorization of 318 is 2 x 3 x 53

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(400, 865) = 69200

GCD(400, 865) = ( 400 x 865 ) / 69200

GCD(400, 865) = 346000 / 69200

GCD(400, 865) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 47

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

LCM(5, 47) = 235

GCD(5, 47) = ( 5 x 47 ) / 235

GCD(5, 47) = 235 / 235

GCD(5, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 400, 865, 47, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 714, 90, 740
• GCD of 688, 319, 92, 546
• GCD of 491, 941, 86, 263
• GCD of 566, 110, 86, 926
• GCD of 179, 412, 29, 283

1. What is the GCD of 400, 865, 47, 318?

GCD of 400, 865, 47, 318 is 1

2. Where do I get the detailed procedure to find GCD of 400, 865, 47, 318?

You can find a detailed procedure to find GCD of 400, 865, 47, 318 on our page.

3. How to find GCD of 400, 865, 47, 318 on a calculator?

You can find the GCD of 400, 865, 47, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.