GCD of 519, 986, 165, 334 Calculator

Given Input numbers are 519, 986, 165, 334

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 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 519, 986, 165, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 519, 986, 165, 334 is 1.

Therefore, GCD of numbers 519, 986, 165, 334 is 1

Given Input Data is 519, 986, 165, 334

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

Prime Factorization of 519 is 3 x 173

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 334 is 2 x 167

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, 986) = 511734

GCD(519, 986) = ( 519 x 986 ) / 511734

GCD(519, 986) = 511734 / 511734

GCD(519, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 519, 986, 165, 334 is 1

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1. What is the GCD of 519, 986, 165, 334?

GCD of 519, 986, 165, 334 is 1

2. Where do I get the detailed procedure to find GCD of 519, 986, 165, 334?

You can find a detailed procedure to find GCD of 519, 986, 165, 334 on our page.

3. How to find GCD of 519, 986, 165, 334 on a calculator?

You can find the GCD of 519, 986, 165, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.