GCD of 360, 186, 80, 728 Calculator

Given Input numbers are 360, 186, 80, 728

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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

Greatest Common Divisior

We found the divisors of 360, 186, 80, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 186, 80, 728 is 2.

Therefore, GCD of numbers 360, 186, 80, 728 is 2

Given Input Data is 360, 186, 80, 728

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(360, 186) = 11160

GCD(360, 186) = ( 360 x 186 ) / 11160

GCD(360, 186) = 66960 / 11160

GCD(360, 186) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 80

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

LCM(6, 80) = 240

GCD(6, 80) = ( 6 x 80 ) / 240

GCD(6, 80) = 480 / 240

GCD(6, 80) = 2

Step3:

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

GCD of 360, 186, 80, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 733, 42, 674
• GCD of 990, 295, 58, 716
• GCD of 675, 260, 38, 780
• GCD of 232, 705, 58, 421
• GCD of 751, 208, 57, 751

1. What is the GCD of 360, 186, 80, 728?

GCD of 360, 186, 80, 728 is 2

2. Where do I get the detailed procedure to find GCD of 360, 186, 80, 728?

You can find a detailed procedure to find GCD of 360, 186, 80, 728 on our page.

3. How to find GCD of 360, 186, 80, 728 on a calculator?

You can find the GCD of 360, 186, 80, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.