GCD of 904, 746, 37, 744 Calculator

Given Input numbers are 904, 746, 37, 744

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

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 746

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

1, 2, 373, 746

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

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

Greatest Common Divisior

We found the divisors of 904, 746, 37, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 746, 37, 744 is 1.

Therefore, GCD of numbers 904, 746, 37, 744 is 1

Given Input Data is 904, 746, 37, 744

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

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 37 is 37

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

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(904, 746) = 337192

GCD(904, 746) = ( 904 x 746 ) / 337192

GCD(904, 746) = 674384 / 337192

GCD(904, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 904, 746, 37, 744 is 1

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1. What is the GCD of 904, 746, 37, 744?

GCD of 904, 746, 37, 744 is 1

2. Where do I get the detailed procedure to find GCD of 904, 746, 37, 744?

You can find a detailed procedure to find GCD of 904, 746, 37, 744 on our page.

3. How to find GCD of 904, 746, 37, 744 on a calculator?

You can find the GCD of 904, 746, 37, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.