GCD of 744, 721, 30, 322 Calculator

Given Input numbers are 744, 721, 30, 322

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 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 744, 721, 30, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 721, 30, 322 is 1.

Therefore, GCD of numbers 744, 721, 30, 322 is 1

Given Input Data is 744, 721, 30, 322

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 721 is 7 x 103

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 322 is 2 x 7 x 23

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, 721) = 536424

GCD(744, 721) = ( 744 x 721 ) / 536424

GCD(744, 721) = 536424 / 536424

GCD(744, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 744, 721, 30, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 997, 52, 466
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1. What is the GCD of 744, 721, 30, 322?

GCD of 744, 721, 30, 322 is 1

2. Where do I get the detailed procedure to find GCD of 744, 721, 30, 322?

You can find a detailed procedure to find GCD of 744, 721, 30, 322 on our page.

3. How to find GCD of 744, 721, 30, 322 on a calculator?

You can find the GCD of 744, 721, 30, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.