GCD of 517, 425, 309, 908 Calculator

Given Input numbers are 517, 425, 309, 908

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 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 517, 425, 309, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 425, 309, 908 is 1.

Therefore, GCD of numbers 517, 425, 309, 908 is 1

Given Input Data is 517, 425, 309, 908

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 309 is 3 x 103

Prime Factorization of 908 is 2 x 2 x 227

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, 425) = 219725

GCD(517, 425) = ( 517 x 425 ) / 219725

GCD(517, 425) = 219725 / 219725

GCD(517, 425) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 517, 425, 309, 908 is 1

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1. What is the GCD of 517, 425, 309, 908?

GCD of 517, 425, 309, 908 is 1

2. Where do I get the detailed procedure to find GCD of 517, 425, 309, 908?

You can find a detailed procedure to find GCD of 517, 425, 309, 908 on our page.

3. How to find GCD of 517, 425, 309, 908 on a calculator?

You can find the GCD of 517, 425, 309, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.