GCD of 517, 323, 744, 131 Calculator

Given Input numbers are 517, 323, 744, 131

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 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 517, 323, 744, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 323, 744, 131 is 1.

Therefore, GCD of numbers 517, 323, 744, 131 is 1

Given Input Data is 517, 323, 744, 131

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 323 is 17 x 19

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 131 is 131

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, 323) = 166991

GCD(517, 323) = ( 517 x 323 ) / 166991

GCD(517, 323) = 166991 / 166991

GCD(517, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 517, 323, 744, 131 is 1

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1. What is the GCD of 517, 323, 744, 131?

GCD of 517, 323, 744, 131 is 1

2. Where do I get the detailed procedure to find GCD of 517, 323, 744, 131?

You can find a detailed procedure to find GCD of 517, 323, 744, 131 on our page.

3. How to find GCD of 517, 323, 744, 131 on a calculator?

You can find the GCD of 517, 323, 744, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.