GCD of 384, 621, 400, 989 Calculator

Given Input numbers are 384, 621, 400, 989

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

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 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 384, 621, 400, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 621, 400, 989 is 1.

Therefore, GCD of numbers 384, 621, 400, 989 is 1

Given Input Data is 384, 621, 400, 989

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 621 is 3 x 3 x 3 x 23

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

Prime Factorization of 989 is 23 x 43

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(384, 621) = 79488

GCD(384, 621) = ( 384 x 621 ) / 79488

GCD(384, 621) = 238464 / 79488

GCD(384, 621) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 400

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

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

GCD(3, 400) = 1200 / 1200

GCD(3, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 384, 621, 400, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 735, 208, 343
• GCD of 142, 665, 197, 894
• GCD of 837, 205, 687, 210
• GCD of 777, 878, 671, 195
• GCD of 384, 339, 119, 481

1. What is the GCD of 384, 621, 400, 989?

GCD of 384, 621, 400, 989 is 1

2. Where do I get the detailed procedure to find GCD of 384, 621, 400, 989?

You can find a detailed procedure to find GCD of 384, 621, 400, 989 on our page.

3. How to find GCD of 384, 621, 400, 989 on a calculator?

You can find the GCD of 384, 621, 400, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.