GCD of 348, 464, 519, 199 Calculator

Given Input numbers are 348, 464, 519, 199

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 519

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

1, 3, 173, 519

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 348, 464, 519, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 464, 519, 199 is 1.

Therefore, GCD of numbers 348, 464, 519, 199 is 1

Given Input Data is 348, 464, 519, 199

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 519 is 3 x 173

Prime Factorization of 199 is 199

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(348, 464) = 1392

GCD(348, 464) = ( 348 x 464 ) / 1392

GCD(348, 464) = 161472 / 1392

GCD(348, 464) = 116

Step2:

Here we consider the GCD from the above i.e. 116 as first number and the next as 519

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

LCM(116, 519) = 60204

GCD(116, 519) = ( 116 x 519 ) / 60204

GCD(116, 519) = 60204 / 60204

GCD(116, 519) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 348, 464, 519, 199 is 1

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1. What is the GCD of 348, 464, 519, 199?

GCD of 348, 464, 519, 199 is 1

2. Where do I get the detailed procedure to find GCD of 348, 464, 519, 199?

You can find a detailed procedure to find GCD of 348, 464, 519, 199 on our page.

3. How to find GCD of 348, 464, 519, 199 on a calculator?

You can find the GCD of 348, 464, 519, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.