GCD of 313, 792, 58, 503 Calculator

Given Input numbers are 313, 792, 58, 503

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

Divisors of 313

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

1, 313

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 58

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

1, 2, 29, 58

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Greatest Common Divisior

We found the divisors of 313, 792, 58, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 792, 58, 503 is 1.

Therefore, GCD of numbers 313, 792, 58, 503 is 1

Given Input Data is 313, 792, 58, 503

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

Prime Factorization of 313 is 313

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 58 is 2 x 29

Prime Factorization of 503 is 503

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(313, 792) = 247896

GCD(313, 792) = ( 313 x 792 ) / 247896

GCD(313, 792) = 247896 / 247896

GCD(313, 792) = 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 503

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

LCM(1, 503) = 503

GCD(1, 503) = ( 1 x 503 ) / 503

GCD(1, 503) = 503 / 503

GCD(1, 503) = 1

GCD of 313, 792, 58, 503 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 196, 73, 657
• GCD of 917, 503, 22, 998
• GCD of 473, 929, 17, 299
• GCD of 472, 931, 74, 279
• GCD of 509, 576, 73, 831

1. What is the GCD of 313, 792, 58, 503?

GCD of 313, 792, 58, 503 is 1

2. Where do I get the detailed procedure to find GCD of 313, 792, 58, 503?

You can find a detailed procedure to find GCD of 313, 792, 58, 503 on our page.

3. How to find GCD of 313, 792, 58, 503 on a calculator?

You can find the GCD of 313, 792, 58, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.