GCD of 180, 815, 371, 291 Calculator

Given Input numbers are 180, 815, 371, 291

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 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 180, 815, 371, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 815, 371, 291 is 1.

Therefore, GCD of numbers 180, 815, 371, 291 is 1

Given Input Data is 180, 815, 371, 291

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 815 is 5 x 163

Prime Factorization of 371 is 7 x 53

Prime Factorization of 291 is 3 x 97

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, 815) = 29340

GCD(180, 815) = ( 180 x 815 ) / 29340

GCD(180, 815) = 146700 / 29340

GCD(180, 815) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 371

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

LCM(5, 371) = 1855

GCD(5, 371) = ( 5 x 371 ) / 1855

GCD(5, 371) = 1855 / 1855

GCD(5, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

GCD of 180, 815, 371, 291 is 1

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1. What is the GCD of 180, 815, 371, 291?

GCD of 180, 815, 371, 291 is 1

2. Where do I get the detailed procedure to find GCD of 180, 815, 371, 291?

You can find a detailed procedure to find GCD of 180, 815, 371, 291 on our page.

3. How to find GCD of 180, 815, 371, 291 on a calculator?

You can find the GCD of 180, 815, 371, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.