GCD of 382, 517, 644, 871 Calculator

Given Input numbers are 382, 517, 644, 871

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 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

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 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 382, 517, 644, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 517, 644, 871 is 1.

Therefore, GCD of numbers 382, 517, 644, 871 is 1

Given Input Data is 382, 517, 644, 871

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 517 is 11 x 47

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

Prime Factorization of 871 is 13 x 67

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, 517) = 197494

GCD(382, 517) = ( 382 x 517 ) / 197494

GCD(382, 517) = 197494 / 197494

GCD(382, 517) = 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 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 382, 517, 644, 871 is 1

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1. What is the GCD of 382, 517, 644, 871?

GCD of 382, 517, 644, 871 is 1

2. Where do I get the detailed procedure to find GCD of 382, 517, 644, 871?

You can find a detailed procedure to find GCD of 382, 517, 644, 871 on our page.

3. How to find GCD of 382, 517, 644, 871 on a calculator?

You can find the GCD of 382, 517, 644, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.