GCD of 517, 422, 971, 368 Calculator

Given Input numbers are 517, 422, 971, 368

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

Divisors of 517

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

1, 11, 47, 517

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 971

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

1, 971

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 517, 422, 971, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 422, 971, 368 is 1.

Therefore, GCD of numbers 517, 422, 971, 368 is 1

Given Input Data is 517, 422, 971, 368

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 422 is 2 x 211

Prime Factorization of 971 is 971

Prime Factorization of 368 is 2 x 2 x 2 x 2 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(517, 422) = 218174

GCD(517, 422) = ( 517 x 422 ) / 218174

GCD(517, 422) = 218174 / 218174

GCD(517, 422) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 517, 422, 971, 368 is 1

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1. What is the GCD of 517, 422, 971, 368?

GCD of 517, 422, 971, 368 is 1

2. Where do I get the detailed procedure to find GCD of 517, 422, 971, 368?

You can find a detailed procedure to find GCD of 517, 422, 971, 368 on our page.

3. How to find GCD of 517, 422, 971, 368 on a calculator?

You can find the GCD of 517, 422, 971, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.