GCD of 728, 180, 181, 612 Calculator

Given Input numbers are 728, 180, 181, 612

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

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 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 728, 180, 181, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 180, 181, 612 is 1.

Therefore, GCD of numbers 728, 180, 181, 612 is 1

Given Input Data is 728, 180, 181, 612

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

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 181 is 181

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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(728, 180) = 32760

GCD(728, 180) = ( 728 x 180 ) / 32760

GCD(728, 180) = 131040 / 32760

GCD(728, 180) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 181

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

LCM(4, 181) = 724

GCD(4, 181) = ( 4 x 181 ) / 724

GCD(4, 181) = 724 / 724

GCD(4, 181) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

GCD of 728, 180, 181, 612 is 1

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• GCD of 447, 822, 709, 239
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1. What is the GCD of 728, 180, 181, 612?

GCD of 728, 180, 181, 612 is 1

2. Where do I get the detailed procedure to find GCD of 728, 180, 181, 612?

You can find a detailed procedure to find GCD of 728, 180, 181, 612 on our page.

3. How to find GCD of 728, 180, 181, 612 on a calculator?

You can find the GCD of 728, 180, 181, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.