GCD of 382, 722, 971, 317 Calculator

Given Input numbers are 382, 722, 971, 317

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 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 382, 722, 971, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 722, 971, 317 is 1.

Therefore, GCD of numbers 382, 722, 971, 317 is 1

Given Input Data is 382, 722, 971, 317

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 971 is 971

Prime Factorization of 317 is 317

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, 722) = 137902

GCD(382, 722) = ( 382 x 722 ) / 137902

GCD(382, 722) = 275804 / 137902

GCD(382, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 971

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

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

GCD(2, 971) = 1942 / 1942

GCD(2, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

GCD of 382, 722, 971, 317 is 1

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1. What is the GCD of 382, 722, 971, 317?

GCD of 382, 722, 971, 317 is 1

2. Where do I get the detailed procedure to find GCD of 382, 722, 971, 317?

You can find a detailed procedure to find GCD of 382, 722, 971, 317 on our page.

3. How to find GCD of 382, 722, 971, 317 on a calculator?

You can find the GCD of 382, 722, 971, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.