GCD of 181, 780, 363, 312 Calculator

Given Input numbers are 181, 780, 363, 312

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

Divisors of 181

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

1, 181

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 181, 780, 363, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 181, 780, 363, 312 is 1.

Therefore, GCD of numbers 181, 780, 363, 312 is 1

Given Input Data is 181, 780, 363, 312

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

Prime Factorization of 181 is 181

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(181, 780) = 141180

GCD(181, 780) = ( 181 x 780 ) / 141180

GCD(181, 780) = 141180 / 141180

GCD(181, 780) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 181, 780, 363, 312 is 1

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1. What is the GCD of 181, 780, 363, 312?

GCD of 181, 780, 363, 312 is 1

2. Where do I get the detailed procedure to find GCD of 181, 780, 363, 312?

You can find a detailed procedure to find GCD of 181, 780, 363, 312 on our page.

3. How to find GCD of 181, 780, 363, 312 on a calculator?

You can find the GCD of 181, 780, 363, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.