GCD of 744, 904, 425, 908 Calculator

Given Input numbers are 744, 904, 425, 908

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

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 744, 904, 425, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 904, 425, 908 is 1.

Therefore, GCD of numbers 744, 904, 425, 908 is 1

Given Input Data is 744, 904, 425, 908

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 425 is 5 x 5 x 17

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(744, 904) = 84072

GCD(744, 904) = ( 744 x 904 ) / 84072

GCD(744, 904) = 672576 / 84072

GCD(744, 904) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 425

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

LCM(8, 425) = 3400

GCD(8, 425) = ( 8 x 425 ) / 3400

GCD(8, 425) = 3400 / 3400

GCD(8, 425) = 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 744, 904, 425, 908 is 1

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1. What is the GCD of 744, 904, 425, 908?

GCD of 744, 904, 425, 908 is 1

2. Where do I get the detailed procedure to find GCD of 744, 904, 425, 908?

You can find a detailed procedure to find GCD of 744, 904, 425, 908 on our page.

3. How to find GCD of 744, 904, 425, 908 on a calculator?

You can find the GCD of 744, 904, 425, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.