GCD of 298, 395, 468 Calculator

Given Input numbers are 298, 395, 468

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 298, 395, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 395, 468 is 1.

Therefore, GCD of numbers 298, 395, 468 is 1

Given Input Data is 298, 395, 468

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 395 is 5 x 79

Prime Factorization of 468 is 2 x 2 x 3 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(298, 395) = 117710

GCD(298, 395) = ( 298 x 395 ) / 117710

GCD(298, 395) = 117710 / 117710

GCD(298, 395) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 298, 395, 468 is 1

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1. What is the GCD of 298, 395, 468?

GCD of 298, 395, 468 is 1

2. Where do I get the detailed procedure to find GCD of 298, 395, 468?

You can find a detailed procedure to find GCD of 298, 395, 468 on our page.

3. How to find GCD of 298, 395, 468 on a calculator?

You can find the GCD of 298, 395, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.