GCD of 318, 515, 27, 744 Calculator

Given Input numbers are 318, 515, 27, 744

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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 318, 515, 27, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 515, 27, 744 is 1.

Therefore, GCD of numbers 318, 515, 27, 744 is 1

Given Input Data is 318, 515, 27, 744

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 515 is 5 x 103

Prime Factorization of 27 is 3 x 3 x 3

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(318, 515) = 163770

GCD(318, 515) = ( 318 x 515 ) / 163770

GCD(318, 515) = 163770 / 163770

GCD(318, 515) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 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 318, 515, 27, 744 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 355, 93, 313
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• GCD of 384, 266, 26, 430
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• GCD of 803, 180, 30, 137

1. What is the GCD of 318, 515, 27, 744?

GCD of 318, 515, 27, 744 is 1

2. Where do I get the detailed procedure to find GCD of 318, 515, 27, 744?

You can find a detailed procedure to find GCD of 318, 515, 27, 744 on our page.

3. How to find GCD of 318, 515, 27, 744 on a calculator?

You can find the GCD of 318, 515, 27, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.