GCD of 591, 498, 556, 901 Calculator

Given Input numbers are 591, 498, 556, 901

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

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 591, 498, 556, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 498, 556, 901 is 1.

Therefore, GCD of numbers 591, 498, 556, 901 is 1

Given Input Data is 591, 498, 556, 901

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

Prime Factorization of 591 is 3 x 197

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 901 is 17 x 53

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(591, 498) = 98106

GCD(591, 498) = ( 591 x 498 ) / 98106

GCD(591, 498) = 294318 / 98106

GCD(591, 498) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 556

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

LCM(3, 556) = 1668

GCD(3, 556) = ( 3 x 556 ) / 1668

GCD(3, 556) = 1668 / 1668

GCD(3, 556) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

GCD of 591, 498, 556, 901 is 1

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1. What is the GCD of 591, 498, 556, 901?

GCD of 591, 498, 556, 901 is 1

2. Where do I get the detailed procedure to find GCD of 591, 498, 556, 901?

You can find a detailed procedure to find GCD of 591, 498, 556, 901 on our page.

3. How to find GCD of 591, 498, 556, 901 on a calculator?

You can find the GCD of 591, 498, 556, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.