GCD of 518, 730, 73, 123 Calculator

Given Input numbers are 518, 730, 73, 123

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 73

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

1, 73

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 518, 730, 73, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 730, 73, 123 is 1.

Therefore, GCD of numbers 518, 730, 73, 123 is 1

Given Input Data is 518, 730, 73, 123

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 73 is 73

Prime Factorization of 123 is 3 x 41

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(518, 730) = 189070

GCD(518, 730) = ( 518 x 730 ) / 189070

GCD(518, 730) = 378140 / 189070

GCD(518, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 518, 730, 73, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 222, 84, 645
• GCD of 772, 367, 60, 847
• GCD of 783, 294, 85, 383
• GCD of 869, 688, 82, 609
• GCD of 609, 276, 30, 538

1. What is the GCD of 518, 730, 73, 123?

GCD of 518, 730, 73, 123 is 1

2. Where do I get the detailed procedure to find GCD of 518, 730, 73, 123?

You can find a detailed procedure to find GCD of 518, 730, 73, 123 on our page.

3. How to find GCD of 518, 730, 73, 123 on a calculator?

You can find the GCD of 518, 730, 73, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.