GCD of 744, 616, 555, 304 Calculator

Given Input numbers are 744, 616, 555, 304

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 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 744, 616, 555, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 616, 555, 304 is 1.

Therefore, GCD of numbers 744, 616, 555, 304 is 1

Given Input Data is 744, 616, 555, 304

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 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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, 616) = 57288

GCD(744, 616) = ( 744 x 616 ) / 57288

GCD(744, 616) = 458304 / 57288

GCD(744, 616) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 555

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

LCM(8, 555) = 4440

GCD(8, 555) = ( 8 x 555 ) / 4440

GCD(8, 555) = 4440 / 4440

GCD(8, 555) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 744, 616, 555, 304 is 1

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1. What is the GCD of 744, 616, 555, 304?

GCD of 744, 616, 555, 304 is 1

2. Where do I get the detailed procedure to find GCD of 744, 616, 555, 304?

You can find a detailed procedure to find GCD of 744, 616, 555, 304 on our page.

3. How to find GCD of 744, 616, 555, 304 on a calculator?

You can find the GCD of 744, 616, 555, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.