GCD of 283, 394, 48, 644 Calculator

Given Input numbers are 283, 394, 48, 644

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

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

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 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

Greatest Common Divisior

We found the divisors of 283, 394, 48, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 394, 48, 644 is 1.

Therefore, GCD of numbers 283, 394, 48, 644 is 1

Given Input Data is 283, 394, 48, 644

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

Prime Factorization of 283 is 283

Prime Factorization of 394 is 2 x 197

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

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

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(283, 394) = 111502

GCD(283, 394) = ( 283 x 394 ) / 111502

GCD(283, 394) = 111502 / 111502

GCD(283, 394) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

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

GCD of 283, 394, 48, 644 is 1

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1. What is the GCD of 283, 394, 48, 644?

GCD of 283, 394, 48, 644 is 1

2. Where do I get the detailed procedure to find GCD of 283, 394, 48, 644?

You can find a detailed procedure to find GCD of 283, 394, 48, 644 on our page.

3. How to find GCD of 283, 394, 48, 644 on a calculator?

You can find the GCD of 283, 394, 48, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.