GCD of 48, 403, 644, 412 Calculator

Given Input numbers are 48, 403, 644, 412

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 48, 403, 644, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 403, 644, 412 is 1.

Therefore, GCD of numbers 48, 403, 644, 412 is 1

Given Input Data is 48, 403, 644, 412

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 403 is 13 x 31

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 412 is 2 x 2 x 103

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(48, 403) = 19344

GCD(48, 403) = ( 48 x 403 ) / 19344

GCD(48, 403) = 19344 / 19344

GCD(48, 403) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 48, 403, 644, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 239, 332, 801
• GCD of 50, 116, 964, 105
• GCD of 77, 330, 419, 804
• GCD of 44, 909, 730, 224
• GCD of 30, 291, 530, 374

1. What is the GCD of 48, 403, 644, 412?

GCD of 48, 403, 644, 412 is 1

2. Where do I get the detailed procedure to find GCD of 48, 403, 644, 412?

You can find a detailed procedure to find GCD of 48, 403, 644, 412 on our page.

3. How to find GCD of 48, 403, 644, 412 on a calculator?

You can find the GCD of 48, 403, 644, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.