GCD of 401, 984, 31, 323 Calculator

Given Input numbers are 401, 984, 31, 323

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 401, 984, 31, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 984, 31, 323 is 1.

Therefore, GCD of numbers 401, 984, 31, 323 is 1

Given Input Data is 401, 984, 31, 323

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

Prime Factorization of 401 is 401

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 31 is 31

Prime Factorization of 323 is 17 x 19

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(401, 984) = 394584

GCD(401, 984) = ( 401 x 984 ) / 394584

GCD(401, 984) = 394584 / 394584

GCD(401, 984) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

GCD of 401, 984, 31, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 784, 10, 835
• GCD of 360, 519, 75, 287
• GCD of 170, 644, 67, 807
• GCD of 160, 563, 60, 144
• GCD of 934, 941, 48, 933

1. What is the GCD of 401, 984, 31, 323?

GCD of 401, 984, 31, 323 is 1

2. Where do I get the detailed procedure to find GCD of 401, 984, 31, 323?

You can find a detailed procedure to find GCD of 401, 984, 31, 323 on our page.

3. How to find GCD of 401, 984, 31, 323 on a calculator?

You can find the GCD of 401, 984, 31, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.