GCD of 598, 583, 72, 973 Calculator

Given Input numbers are 598, 583, 72, 973

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 598, 583, 72, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 583, 72, 973 is 1.

Therefore, GCD of numbers 598, 583, 72, 973 is 1

Given Input Data is 598, 583, 72, 973

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 583 is 11 x 53

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(598, 583) = 348634

GCD(598, 583) = ( 598 x 583 ) / 348634

GCD(598, 583) = 348634 / 348634

GCD(598, 583) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 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 598, 583, 72, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 795, 71, 137
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• GCD of 459, 792, 90, 607

1. What is the GCD of 598, 583, 72, 973?

GCD of 598, 583, 72, 973 is 1

2. Where do I get the detailed procedure to find GCD of 598, 583, 72, 973?

You can find a detailed procedure to find GCD of 598, 583, 72, 973 on our page.

3. How to find GCD of 598, 583, 72, 973 on a calculator?

You can find the GCD of 598, 583, 72, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.