GCD of 519, 171, 12, 848 Calculator

Given Input numbers are 519, 171, 12, 848

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

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Greatest Common Divisior

We found the divisors of 519, 171, 12, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 519, 171, 12, 848 is 1.

Therefore, GCD of numbers 519, 171, 12, 848 is 1

Given Input Data is 519, 171, 12, 848

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

Prime Factorization of 519 is 3 x 173

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

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(519, 171) = 29583

GCD(519, 171) = ( 519 x 171 ) / 29583

GCD(519, 171) = 88749 / 29583

GCD(519, 171) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 12

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

LCM(3, 12) = 12

GCD(3, 12) = ( 3 x 12 ) / 12

GCD(3, 12) = 36 / 12

GCD(3, 12) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 848

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

LCM(3, 848) = 2544

GCD(3, 848) = ( 3 x 848 ) / 2544

GCD(3, 848) = 2544 / 2544

GCD(3, 848) = 1

GCD of 519, 171, 12, 848 is 1

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1. What is the GCD of 519, 171, 12, 848?

GCD of 519, 171, 12, 848 is 1

2. Where do I get the detailed procedure to find GCD of 519, 171, 12, 848?

You can find a detailed procedure to find GCD of 519, 171, 12, 848 on our page.

3. How to find GCD of 519, 171, 12, 848 on a calculator?

You can find the GCD of 519, 171, 12, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.