GCD of 517, 341, 19, 139 Calculator

Given Input numbers are 517, 341, 19, 139

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 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 517, 341, 19, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 341, 19, 139 is 1.

Therefore, GCD of numbers 517, 341, 19, 139 is 1

Given Input Data is 517, 341, 19, 139

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 341 is 11 x 31

Prime Factorization of 19 is 19

Prime Factorization of 139 is 139

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, 341) = 16027

GCD(517, 341) = ( 517 x 341 ) / 16027

GCD(517, 341) = 176297 / 16027

GCD(517, 341) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 19

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

LCM(11, 19) = 209

GCD(11, 19) = ( 11 x 19 ) / 209

GCD(11, 19) = 209 / 209

GCD(11, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 139

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

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

GCD(1, 139) = 139 / 139

GCD(1, 139) = 1

GCD of 517, 341, 19, 139 is 1

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1. What is the GCD of 517, 341, 19, 139?

GCD of 517, 341, 19, 139 is 1

2. Where do I get the detailed procedure to find GCD of 517, 341, 19, 139?

You can find a detailed procedure to find GCD of 517, 341, 19, 139 on our page.

3. How to find GCD of 517, 341, 19, 139 on a calculator?

You can find the GCD of 517, 341, 19, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.