GCD of 809, 474, 27, 746 Calculator

Given Input numbers are 809, 474, 27, 746

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

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 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 809, 474, 27, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 474, 27, 746 is 1.

Therefore, GCD of numbers 809, 474, 27, 746 is 1

Given Input Data is 809, 474, 27, 746

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

Prime Factorization of 809 is 809

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 746 is 2 x 373

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(809, 474) = 383466

GCD(809, 474) = ( 809 x 474 ) / 383466

GCD(809, 474) = 383466 / 383466

GCD(809, 474) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 809, 474, 27, 746 is 1

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1. What is the GCD of 809, 474, 27, 746?

GCD of 809, 474, 27, 746 is 1

2. Where do I get the detailed procedure to find GCD of 809, 474, 27, 746?

You can find a detailed procedure to find GCD of 809, 474, 27, 746 on our page.

3. How to find GCD of 809, 474, 27, 746 on a calculator?

You can find the GCD of 809, 474, 27, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.