GCD of 71, 397, 458, 973 Calculator

Given Input numbers are 71, 397, 458, 973

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 71, 397, 458, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 397, 458, 973 is 1.

Therefore, GCD of numbers 71, 397, 458, 973 is 1

Given Input Data is 71, 397, 458, 973

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

Prime Factorization of 71 is 71

Prime Factorization of 397 is 397

Prime Factorization of 458 is 2 x 229

Prime Factorization of 973 is 7 x 139

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(71, 397) = 28187

GCD(71, 397) = ( 71 x 397 ) / 28187

GCD(71, 397) = 28187 / 28187

GCD(71, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 71, 397, 458, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 583, 320, 295
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• GCD of 92, 720, 965, 540

1. What is the GCD of 71, 397, 458, 973?

GCD of 71, 397, 458, 973 is 1

2. Where do I get the detailed procedure to find GCD of 71, 397, 458, 973?

You can find a detailed procedure to find GCD of 71, 397, 458, 973 on our page.

3. How to find GCD of 71, 397, 458, 973 on a calculator?

You can find the GCD of 71, 397, 458, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.