GCD of 517, 343, 13, 311 Calculator

Given Input numbers are 517, 343, 13, 311

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

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 517, 343, 13, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 343, 13, 311 is 1.

Therefore, GCD of numbers 517, 343, 13, 311 is 1

Given Input Data is 517, 343, 13, 311

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 13 is 13

Prime Factorization of 311 is 311

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(517, 343) = 177331

GCD(517, 343) = ( 517 x 343 ) / 177331

GCD(517, 343) = 177331 / 177331

GCD(517, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 517, 343, 13, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 910, 63, 639
• GCD of 549, 926, 24, 791
• GCD of 578, 373, 19, 585
• GCD of 479, 677, 84, 793
• GCD of 560, 723, 49, 595

1. What is the GCD of 517, 343, 13, 311?

GCD of 517, 343, 13, 311 is 1

2. Where do I get the detailed procedure to find GCD of 517, 343, 13, 311?

You can find a detailed procedure to find GCD of 517, 343, 13, 311 on our page.

3. How to find GCD of 517, 343, 13, 311 on a calculator?

You can find the GCD of 517, 343, 13, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.