GCD of 973, 590, 507, 254 Calculator

Given Input numbers are 973, 590, 507, 254

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 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 973, 590, 507, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 590, 507, 254 is 1.

Therefore, GCD of numbers 973, 590, 507, 254 is 1

Given Input Data is 973, 590, 507, 254

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

Prime Factorization of 973 is 7 x 139

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 254 is 2 x 127

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, 590) = 574070

GCD(973, 590) = ( 973 x 590 ) / 574070

GCD(973, 590) = 574070 / 574070

GCD(973, 590) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 973, 590, 507, 254 is 1

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1. What is the GCD of 973, 590, 507, 254?

GCD of 973, 590, 507, 254 is 1

2. Where do I get the detailed procedure to find GCD of 973, 590, 507, 254?

You can find a detailed procedure to find GCD of 973, 590, 507, 254 on our page.

3. How to find GCD of 973, 590, 507, 254 on a calculator?

You can find the GCD of 973, 590, 507, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.