GCD of 493, 988, 58, 520 Calculator

Given Input numbers are 493, 988, 58, 520

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 493, 988, 58, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 988, 58, 520 is 1.

Therefore, GCD of numbers 493, 988, 58, 520 is 1

Given Input Data is 493, 988, 58, 520

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 58 is 2 x 29

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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(493, 988) = 487084

GCD(493, 988) = ( 493 x 988 ) / 487084

GCD(493, 988) = 487084 / 487084

GCD(493, 988) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 493, 988, 58, 520 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 571, 11, 741
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• GCD of 728, 728, 21, 231

1. What is the GCD of 493, 988, 58, 520?

GCD of 493, 988, 58, 520 is 1

2. Where do I get the detailed procedure to find GCD of 493, 988, 58, 520?

You can find a detailed procedure to find GCD of 493, 988, 58, 520 on our page.

3. How to find GCD of 493, 988, 58, 520 on a calculator?

You can find the GCD of 493, 988, 58, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.