GCD of 839, 793, 76, 642 Calculator

Given Input numbers are 839, 793, 76, 642

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

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 839, 793, 76, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 793, 76, 642 is 1.

Therefore, GCD of numbers 839, 793, 76, 642 is 1

Given Input Data is 839, 793, 76, 642

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

Prime Factorization of 839 is 839

Prime Factorization of 793 is 13 x 61

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 642 is 2 x 3 x 107

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(839, 793) = 665327

GCD(839, 793) = ( 839 x 793 ) / 665327

GCD(839, 793) = 665327 / 665327

GCD(839, 793) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 839, 793, 76, 642 is 1

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1. What is the GCD of 839, 793, 76, 642?

GCD of 839, 793, 76, 642 is 1

2. Where do I get the detailed procedure to find GCD of 839, 793, 76, 642?

You can find a detailed procedure to find GCD of 839, 793, 76, 642 on our page.

3. How to find GCD of 839, 793, 76, 642 on a calculator?

You can find the GCD of 839, 793, 76, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.