GCD of 476, 581, 31, 203 Calculator

Given Input numbers are 476, 581, 31, 203

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 476, 581, 31, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 581, 31, 203 is 1.

Therefore, GCD of numbers 476, 581, 31, 203 is 1

Given Input Data is 476, 581, 31, 203

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 581 is 7 x 83

Prime Factorization of 31 is 31

Prime Factorization of 203 is 7 x 29

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(476, 581) = 39508

GCD(476, 581) = ( 476 x 581 ) / 39508

GCD(476, 581) = 276556 / 39508

GCD(476, 581) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 31

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

LCM(7, 31) = 217

GCD(7, 31) = ( 7 x 31 ) / 217

GCD(7, 31) = 217 / 217

GCD(7, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

GCD of 476, 581, 31, 203 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 502, 67, 730
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• GCD of 114, 446, 66, 438
• GCD of 691, 259, 87, 140

1. What is the GCD of 476, 581, 31, 203?

GCD of 476, 581, 31, 203 is 1

2. Where do I get the detailed procedure to find GCD of 476, 581, 31, 203?

You can find a detailed procedure to find GCD of 476, 581, 31, 203 on our page.

3. How to find GCD of 476, 581, 31, 203 on a calculator?

You can find the GCD of 476, 581, 31, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.