GCD of 667, 389, 42, 791 Calculator

Given Input numbers are 667, 389, 42, 791

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

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

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 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 667, 389, 42, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 389, 42, 791 is 1.

Therefore, GCD of numbers 667, 389, 42, 791 is 1

Given Input Data is 667, 389, 42, 791

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 389 is 389

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 791 is 7 x 113

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(667, 389) = 259463

GCD(667, 389) = ( 667 x 389 ) / 259463

GCD(667, 389) = 259463 / 259463

GCD(667, 389) = 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 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 667, 389, 42, 791 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 609, 75, 970
• GCD of 104, 766, 42, 847
• GCD of 190, 371, 92, 146
• GCD of 927, 906, 81, 721
• GCD of 109, 881, 89, 445

1. What is the GCD of 667, 389, 42, 791?

GCD of 667, 389, 42, 791 is 1

2. Where do I get the detailed procedure to find GCD of 667, 389, 42, 791?

You can find a detailed procedure to find GCD of 667, 389, 42, 791 on our page.

3. How to find GCD of 667, 389, 42, 791 on a calculator?

You can find the GCD of 667, 389, 42, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.