GCD of 291, 816, 365, 297 Calculator

Given Input numbers are 291, 816, 365, 297

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

Divisors of 291

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

1, 3, 97, 291

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 291, 816, 365, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 816, 365, 297 is 1.

Therefore, GCD of numbers 291, 816, 365, 297 is 1

Given Input Data is 291, 816, 365, 297

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 365 is 5 x 73

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(291, 816) = 79152

GCD(291, 816) = ( 291 x 816 ) / 79152

GCD(291, 816) = 237456 / 79152

GCD(291, 816) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 365

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

LCM(3, 365) = 1095

GCD(3, 365) = ( 3 x 365 ) / 1095

GCD(3, 365) = 1095 / 1095

GCD(3, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 291, 816, 365, 297 is 1

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1. What is the GCD of 291, 816, 365, 297?

GCD of 291, 816, 365, 297 is 1

2. Where do I get the detailed procedure to find GCD of 291, 816, 365, 297?

You can find a detailed procedure to find GCD of 291, 816, 365, 297 on our page.

3. How to find GCD of 291, 816, 365, 297 on a calculator?

You can find the GCD of 291, 816, 365, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.