GCD of 58, 369, 494, 510 Calculator

Given Input numbers are 58, 369, 494, 510

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

Divisors of 58

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

1, 2, 29, 58

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Greatest Common Divisior

We found the divisors of 58, 369, 494, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 369, 494, 510 is 1.

Therefore, GCD of numbers 58, 369, 494, 510 is 1

Given Input Data is 58, 369, 494, 510

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 510 is 2 x 3 x 5 x 17

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(58, 369) = 21402

GCD(58, 369) = ( 58 x 369 ) / 21402

GCD(58, 369) = 21402 / 21402

GCD(58, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 510

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

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

GCD(1, 510) = 510 / 510

GCD(1, 510) = 1

GCD of 58, 369, 494, 510 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 58, 369, 494, 510?

GCD of 58, 369, 494, 510 is 1

2. Where do I get the detailed procedure to find GCD of 58, 369, 494, 510?

You can find a detailed procedure to find GCD of 58, 369, 494, 510 on our page.

3. How to find GCD of 58, 369, 494, 510 on a calculator?

You can find the GCD of 58, 369, 494, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.