GCD of 519, 692, 42, 939 Calculator

Given Input numbers are 519, 692, 42, 939

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 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Greatest Common Divisior

We found the divisors of 519, 692, 42, 939 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 519, 692, 42, 939 is 1.

Therefore, GCD of numbers 519, 692, 42, 939 is 1

Given Input Data is 519, 692, 42, 939

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

Prime Factorization of 519 is 3 x 173

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 939 is 3 x 313

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, 692) = 2076

GCD(519, 692) = ( 519 x 692 ) / 2076

GCD(519, 692) = 359148 / 2076

GCD(519, 692) = 173

Step2:

Here we consider the GCD from the above i.e. 173 as first number and the next as 42

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

LCM(173, 42) = 7266

GCD(173, 42) = ( 173 x 42 ) / 7266

GCD(173, 42) = 7266 / 7266

GCD(173, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 939

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

LCM(1, 939) = 939

GCD(1, 939) = ( 1 x 939 ) / 939

GCD(1, 939) = 939 / 939

GCD(1, 939) = 1

GCD of 519, 692, 42, 939 is 1

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1. What is the GCD of 519, 692, 42, 939?

GCD of 519, 692, 42, 939 is 1

2. Where do I get the detailed procedure to find GCD of 519, 692, 42, 939?

You can find a detailed procedure to find GCD of 519, 692, 42, 939 on our page.

3. How to find GCD of 519, 692, 42, 939 on a calculator?

You can find the GCD of 519, 692, 42, 939 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.