GCD of 905, 370, 115, 744 Calculator

Given Input numbers are 905, 370, 115, 744

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

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

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 905, 370, 115, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 370, 115, 744 is 1.

Therefore, GCD of numbers 905, 370, 115, 744 is 1

Given Input Data is 905, 370, 115, 744

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

Prime Factorization of 905 is 5 x 181

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 115 is 5 x 23

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(905, 370) = 66970

GCD(905, 370) = ( 905 x 370 ) / 66970

GCD(905, 370) = 334850 / 66970

GCD(905, 370) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 115

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

LCM(5, 115) = 115

GCD(5, 115) = ( 5 x 115 ) / 115

GCD(5, 115) = 575 / 115

GCD(5, 115) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 744

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

LCM(5, 744) = 3720

GCD(5, 744) = ( 5 x 744 ) / 3720

GCD(5, 744) = 3720 / 3720

GCD(5, 744) = 1

GCD of 905, 370, 115, 744 is 1

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1. What is the GCD of 905, 370, 115, 744?

GCD of 905, 370, 115, 744 is 1

2. Where do I get the detailed procedure to find GCD of 905, 370, 115, 744?

You can find a detailed procedure to find GCD of 905, 370, 115, 744 on our page.

3. How to find GCD of 905, 370, 115, 744 on a calculator?

You can find the GCD of 905, 370, 115, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.