GCD of 73, 391, 205, 744 Calculator

Given Input numbers are 73, 391, 205, 744

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

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

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 73, 391, 205, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 391, 205, 744 is 1.

Therefore, GCD of numbers 73, 391, 205, 744 is 1

Given Input Data is 73, 391, 205, 744

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

Prime Factorization of 73 is 73

Prime Factorization of 391 is 17 x 23

Prime Factorization of 205 is 5 x 41

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(73, 391) = 28543

GCD(73, 391) = ( 73 x 391 ) / 28543

GCD(73, 391) = 28543 / 28543

GCD(73, 391) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 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 73, 391, 205, 744 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 848, 656, 301
• GCD of 82, 990, 597, 714
• GCD of 84, 684, 997, 564
• GCD of 41, 751, 400, 883
• GCD of 61, 666, 457, 159

1. What is the GCD of 73, 391, 205, 744?

GCD of 73, 391, 205, 744 is 1

2. Where do I get the detailed procedure to find GCD of 73, 391, 205, 744?

You can find a detailed procedure to find GCD of 73, 391, 205, 744 on our page.

3. How to find GCD of 73, 391, 205, 744 on a calculator?

You can find the GCD of 73, 391, 205, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.