GCD of 299, 788, 409, 918 Calculator

Given Input numbers are 299, 788, 409, 918

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 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 299, 788, 409, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 788, 409, 918 is 1.

Therefore, GCD of numbers 299, 788, 409, 918 is 1

Given Input Data is 299, 788, 409, 918

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 409 is 409

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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, 788) = 235612

GCD(299, 788) = ( 299 x 788 ) / 235612

GCD(299, 788) = 235612 / 235612

GCD(299, 788) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 299, 788, 409, 918 is 1

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1. What is the GCD of 299, 788, 409, 918?

GCD of 299, 788, 409, 918 is 1

2. Where do I get the detailed procedure to find GCD of 299, 788, 409, 918?

You can find a detailed procedure to find GCD of 299, 788, 409, 918 on our page.

3. How to find GCD of 299, 788, 409, 918 on a calculator?

You can find the GCD of 299, 788, 409, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.