GCD of 382, 644, 315 Calculator

Given Input numbers are 382, 644, 315

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 382, 644, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 644, 315 is 1.

Therefore, GCD of numbers 382, 644, 315 is 1

Given Input Data is 382, 644, 315

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

Prime Factorization of 382 is 2 x 191

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(382, 644) = 123004

GCD(382, 644) = ( 382 x 644 ) / 123004

GCD(382, 644) = 246008 / 123004

GCD(382, 644) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 315

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

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

GCD(2, 315) = 630 / 630

GCD(2, 315) = 1

GCD of 382, 644, 315 is 1

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1. What is the GCD of 382, 644, 315?

GCD of 382, 644, 315 is 1

2. Where do I get the detailed procedure to find GCD of 382, 644, 315?

You can find a detailed procedure to find GCD of 382, 644, 315 on our page.

3. How to find GCD of 382, 644, 315 on a calculator?

You can find the GCD of 382, 644, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.