GCD of 683, 592, 42, 159 Calculator

Given Input numbers are 683, 592, 42, 159

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

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 683, 592, 42, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 592, 42, 159 is 1.

Therefore, GCD of numbers 683, 592, 42, 159 is 1

Given Input Data is 683, 592, 42, 159

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

Prime Factorization of 683 is 683

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 159 is 3 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(683, 592) = 404336

GCD(683, 592) = ( 683 x 592 ) / 404336

GCD(683, 592) = 404336 / 404336

GCD(683, 592) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 683, 592, 42, 159 is 1

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1. What is the GCD of 683, 592, 42, 159?

GCD of 683, 592, 42, 159 is 1

2. Where do I get the detailed procedure to find GCD of 683, 592, 42, 159?

You can find a detailed procedure to find GCD of 683, 592, 42, 159 on our page.

3. How to find GCD of 683, 592, 42, 159 on a calculator?

You can find the GCD of 683, 592, 42, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.