GCD of 395, 468, 492 Calculator

Given Input numbers are 395, 468, 492

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

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 395, 468, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 468, 492 is 1.

Therefore, GCD of numbers 395, 468, 492 is 1

Given Input Data is 395, 468, 492

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(395, 468) = 184860

GCD(395, 468) = ( 395 x 468 ) / 184860

GCD(395, 468) = 184860 / 184860

GCD(395, 468) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 395, 468, 492 is 1

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1. What is the GCD of 395, 468, 492?

GCD of 395, 468, 492 is 1

2. Where do I get the detailed procedure to find GCD of 395, 468, 492?

You can find a detailed procedure to find GCD of 395, 468, 492 on our page.

3. How to find GCD of 395, 468, 492 on a calculator?

You can find the GCD of 395, 468, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.