GCD of 478, 823, 301, 492 Calculator

Given Input numbers are 478, 823, 301, 492

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

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 478, 823, 301, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 823, 301, 492 is 1.

Therefore, GCD of numbers 478, 823, 301, 492 is 1

Given Input Data is 478, 823, 301, 492

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 823 is 823

Prime Factorization of 301 is 7 x 43

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(478, 823) = 393394

GCD(478, 823) = ( 478 x 823 ) / 393394

GCD(478, 823) = 393394 / 393394

GCD(478, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

Step3:

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 478, 823, 301, 492 is 1

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1. What is the GCD of 478, 823, 301, 492?

GCD of 478, 823, 301, 492 is 1

2. Where do I get the detailed procedure to find GCD of 478, 823, 301, 492?

You can find a detailed procedure to find GCD of 478, 823, 301, 492 on our page.

3. How to find GCD of 478, 823, 301, 492 on a calculator?

You can find the GCD of 478, 823, 301, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.