GCD of 791, 669, 30, 296 Calculator

Given Input numbers are 791, 669, 30, 296

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

Divisors of 791

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

1, 7, 113, 791

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

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

Greatest Common Divisior

We found the divisors of 791, 669, 30, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 669, 30, 296 is 1.

Therefore, GCD of numbers 791, 669, 30, 296 is 1

Given Input Data is 791, 669, 30, 296

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

Prime Factorization of 791 is 7 x 113

Prime Factorization of 669 is 3 x 223

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(791, 669) = 529179

GCD(791, 669) = ( 791 x 669 ) / 529179

GCD(791, 669) = 529179 / 529179

GCD(791, 669) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 791, 669, 30, 296 is 1

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1. What is the GCD of 791, 669, 30, 296?

GCD of 791, 669, 30, 296 is 1

2. Where do I get the detailed procedure to find GCD of 791, 669, 30, 296?

You can find a detailed procedure to find GCD of 791, 669, 30, 296 on our page.

3. How to find GCD of 791, 669, 30, 296 on a calculator?

You can find the GCD of 791, 669, 30, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.