GCD of 734, 744, 576, 185 Calculator

Given Input numbers are 734, 744, 576, 185

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

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 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 734, 744, 576, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 744, 576, 185 is 1.

Therefore, GCD of numbers 734, 744, 576, 185 is 1

Given Input Data is 734, 744, 576, 185

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

Prime Factorization of 734 is 2 x 367

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 185 is 5 x 37

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(734, 744) = 273048

GCD(734, 744) = ( 734 x 744 ) / 273048

GCD(734, 744) = 546096 / 273048

GCD(734, 744) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 576

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

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

GCD(2, 576) = 1152 / 576

GCD(2, 576) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

GCD of 734, 744, 576, 185 is 1

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1. What is the GCD of 734, 744, 576, 185?

GCD of 734, 744, 576, 185 is 1

2. Where do I get the detailed procedure to find GCD of 734, 744, 576, 185?

You can find a detailed procedure to find GCD of 734, 744, 576, 185 on our page.

3. How to find GCD of 734, 744, 576, 185 on a calculator?

You can find the GCD of 734, 744, 576, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.