GCD of 973, 322, 442, 527 Calculator

Given Input numbers are 973, 322, 442, 527

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

Divisors of 973

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

1, 7, 139, 973

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 973, 322, 442, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 322, 442, 527 is 1.

Therefore, GCD of numbers 973, 322, 442, 527 is 1

Given Input Data is 973, 322, 442, 527

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

Prime Factorization of 973 is 7 x 139

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 527 is 17 x 31

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(973, 322) = 44758

GCD(973, 322) = ( 973 x 322 ) / 44758

GCD(973, 322) = 313306 / 44758

GCD(973, 322) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 442

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

LCM(7, 442) = 3094

GCD(7, 442) = ( 7 x 442 ) / 3094

GCD(7, 442) = 3094 / 3094

GCD(7, 442) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 973, 322, 442, 527 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 155, 591, 584
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• GCD of 190, 260, 295, 328

1. What is the GCD of 973, 322, 442, 527?

GCD of 973, 322, 442, 527 is 1

2. Where do I get the detailed procedure to find GCD of 973, 322, 442, 527?

You can find a detailed procedure to find GCD of 973, 322, 442, 527 on our page.

3. How to find GCD of 973, 322, 442, 527 on a calculator?

You can find the GCD of 973, 322, 442, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.