GCD of 490, 313, 72, 581 Calculator

Given Input numbers are 490, 313, 72, 581

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

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 581

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

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 490, 313, 72, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 313, 72, 581 is 1.

Therefore, GCD of numbers 490, 313, 72, 581 is 1

Given Input Data is 490, 313, 72, 581

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 313 is 313

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

Prime Factorization of 581 is 7 x 83

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(490, 313) = 153370

GCD(490, 313) = ( 490 x 313 ) / 153370

GCD(490, 313) = 153370 / 153370

GCD(490, 313) = 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 581

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

LCM(1, 581) = 581

GCD(1, 581) = ( 1 x 581 ) / 581

GCD(1, 581) = 581 / 581

GCD(1, 581) = 1

GCD of 490, 313, 72, 581 is 1

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• GCD of 445, 879, 18, 825
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• GCD of 282, 406, 69, 395

1. What is the GCD of 490, 313, 72, 581?

GCD of 490, 313, 72, 581 is 1

2. Where do I get the detailed procedure to find GCD of 490, 313, 72, 581?

You can find a detailed procedure to find GCD of 490, 313, 72, 581 on our page.

3. How to find GCD of 490, 313, 72, 581 on a calculator?

You can find the GCD of 490, 313, 72, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.