GCD of 72, 130, 728, 103 Calculator

Given Input numbers are 72, 130, 728, 103

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 72, 130, 728, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 130, 728, 103 is 1.

Therefore, GCD of numbers 72, 130, 728, 103 is 1

Given Input Data is 72, 130, 728, 103

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 103 is 103

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(72, 130) = 4680

GCD(72, 130) = ( 72 x 130 ) / 4680

GCD(72, 130) = 9360 / 4680

GCD(72, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 103

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

LCM(2, 103) = 206

GCD(2, 103) = ( 2 x 103 ) / 206

GCD(2, 103) = 206 / 206

GCD(2, 103) = 1

GCD of 72, 130, 728, 103 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 773, 385, 198
• GCD of 73, 244, 878, 733
• GCD of 18, 316, 743, 560
• GCD of 75, 924, 693, 664
• GCD of 45, 545, 574, 932

1. What is the GCD of 72, 130, 728, 103?

GCD of 72, 130, 728, 103 is 1

2. Where do I get the detailed procedure to find GCD of 72, 130, 728, 103?

You can find a detailed procedure to find GCD of 72, 130, 728, 103 on our page.

3. How to find GCD of 72, 130, 728, 103 on a calculator?

You can find the GCD of 72, 130, 728, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.