GCD of 299, 225, 991, 585 Calculator

Given Input numbers are 299, 225, 991, 585

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 299, 225, 991, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 225, 991, 585 is 1.

Therefore, GCD of numbers 299, 225, 991, 585 is 1

Given Input Data is 299, 225, 991, 585

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 991 is 991

Prime Factorization of 585 is 3 x 3 x 5 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(299, 225) = 67275

GCD(299, 225) = ( 299 x 225 ) / 67275

GCD(299, 225) = 67275 / 67275

GCD(299, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 299, 225, 991, 585 is 1

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1. What is the GCD of 299, 225, 991, 585?

GCD of 299, 225, 991, 585 is 1

2. Where do I get the detailed procedure to find GCD of 299, 225, 991, 585?

You can find a detailed procedure to find GCD of 299, 225, 991, 585 on our page.

3. How to find GCD of 299, 225, 991, 585 on a calculator?

You can find the GCD of 299, 225, 991, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.