GCD of 253, 990, 542, 473 Calculator

Given Input numbers are 253, 990, 542, 473

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 253, 990, 542, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 990, 542, 473 is 1.

Therefore, GCD of numbers 253, 990, 542, 473 is 1

Given Input Data is 253, 990, 542, 473

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 542 is 2 x 271

Prime Factorization of 473 is 11 x 43

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(253, 990) = 22770

GCD(253, 990) = ( 253 x 990 ) / 22770

GCD(253, 990) = 250470 / 22770

GCD(253, 990) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 542

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

LCM(11, 542) = 5962

GCD(11, 542) = ( 11 x 542 ) / 5962

GCD(11, 542) = 5962 / 5962

GCD(11, 542) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 253, 990, 542, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 288, 708, 415
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• GCD of 311, 296, 180, 604

1. What is the GCD of 253, 990, 542, 473?

GCD of 253, 990, 542, 473 is 1

2. Where do I get the detailed procedure to find GCD of 253, 990, 542, 473?

You can find a detailed procedure to find GCD of 253, 990, 542, 473 on our page.

3. How to find GCD of 253, 990, 542, 473 on a calculator?

You can find the GCD of 253, 990, 542, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.