GCD of 727, 742, 445, 908 Calculator

Given Input numbers are 727, 742, 445, 908

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

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 727, 742, 445, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 742, 445, 908 is 1.

Therefore, GCD of numbers 727, 742, 445, 908 is 1

Given Input Data is 727, 742, 445, 908

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

Prime Factorization of 727 is 727

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 445 is 5 x 89

Prime Factorization of 908 is 2 x 2 x 227

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(727, 742) = 539434

GCD(727, 742) = ( 727 x 742 ) / 539434

GCD(727, 742) = 539434 / 539434

GCD(727, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 445

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

LCM(1, 445) = 445

GCD(1, 445) = ( 1 x 445 ) / 445

GCD(1, 445) = 445 / 445

GCD(1, 445) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 727, 742, 445, 908 is 1

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1. What is the GCD of 727, 742, 445, 908?

GCD of 727, 742, 445, 908 is 1

2. Where do I get the detailed procedure to find GCD of 727, 742, 445, 908?

You can find a detailed procedure to find GCD of 727, 742, 445, 908 on our page.

3. How to find GCD of 727, 742, 445, 908 on a calculator?

You can find the GCD of 727, 742, 445, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.