GCD of 493, 598, 310 Calculator

Given Input numbers are 493, 598, 310

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 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 493, 598, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 598, 310 is 1.

Therefore, GCD of numbers 493, 598, 310 is 1

Given Input Data is 493, 598, 310

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 310 is 2 x 5 x 31

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, 598) = 294814

GCD(493, 598) = ( 493 x 598 ) / 294814

GCD(493, 598) = 294814 / 294814

GCD(493, 598) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 493, 598, 310 is 1

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1. What is the GCD of 493, 598, 310?

GCD of 493, 598, 310 is 1

2. Where do I get the detailed procedure to find GCD of 493, 598, 310?

You can find a detailed procedure to find GCD of 493, 598, 310 on our page.

3. How to find GCD of 493, 598, 310 on a calculator?

You can find the GCD of 493, 598, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.