GCD of 38, 474, 721, 791 Calculator

Given Input numbers are 38, 474, 721, 791

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

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 38, 474, 721, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 474, 721, 791 is 1.

Therefore, GCD of numbers 38, 474, 721, 791 is 1

Given Input Data is 38, 474, 721, 791

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 721 is 7 x 103

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(38, 474) = 9006

GCD(38, 474) = ( 38 x 474 ) / 9006

GCD(38, 474) = 18012 / 9006

GCD(38, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 721

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

LCM(2, 721) = 1442

GCD(2, 721) = ( 2 x 721 ) / 1442

GCD(2, 721) = 1442 / 1442

GCD(2, 721) = 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 38, 474, 721, 791 is 1

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1. What is the GCD of 38, 474, 721, 791?

GCD of 38, 474, 721, 791 is 1

2. Where do I get the detailed procedure to find GCD of 38, 474, 721, 791?

You can find a detailed procedure to find GCD of 38, 474, 721, 791 on our page.

3. How to find GCD of 38, 474, 721, 791 on a calculator?

You can find the GCD of 38, 474, 721, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.