GCD of 180, 791, 646, 814 Calculator

Given Input numbers are 180, 791, 646, 814

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

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 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 180, 791, 646, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 791, 646, 814 is 1.

Therefore, GCD of numbers 180, 791, 646, 814 is 1

Given Input Data is 180, 791, 646, 814

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

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

Prime Factorization of 791 is 7 x 113

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 814 is 2 x 11 x 37

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(180, 791) = 142380

GCD(180, 791) = ( 180 x 791 ) / 142380

GCD(180, 791) = 142380 / 142380

GCD(180, 791) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 646

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

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

GCD(1, 646) = 646 / 646

GCD(1, 646) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 180, 791, 646, 814 is 1

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1. What is the GCD of 180, 791, 646, 814?

GCD of 180, 791, 646, 814 is 1

2. Where do I get the detailed procedure to find GCD of 180, 791, 646, 814?

You can find a detailed procedure to find GCD of 180, 791, 646, 814 on our page.

3. How to find GCD of 180, 791, 646, 814 on a calculator?

You can find the GCD of 180, 791, 646, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.