GCD of 599, 493, 31, 959 Calculator

Given Input numbers are 599, 493, 31, 959

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

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 493

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

1, 17, 29, 493

Divisors of 31

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

1, 31

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 599, 493, 31, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 599, 493, 31, 959 is 1.

Therefore, GCD of numbers 599, 493, 31, 959 is 1

Given Input Data is 599, 493, 31, 959

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

Prime Factorization of 599 is 599

Prime Factorization of 493 is 17 x 29

Prime Factorization of 31 is 31

Prime Factorization of 959 is 7 x 137

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(599, 493) = 295307

GCD(599, 493) = ( 599 x 493 ) / 295307

GCD(599, 493) = 295307 / 295307

GCD(599, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 599, 493, 31, 959 is 1

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1. What is the GCD of 599, 493, 31, 959?

GCD of 599, 493, 31, 959 is 1

2. Where do I get the detailed procedure to find GCD of 599, 493, 31, 959?

You can find a detailed procedure to find GCD of 599, 493, 31, 959 on our page.

3. How to find GCD of 599, 493, 31, 959 on a calculator?

You can find the GCD of 599, 493, 31, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.