GCD of 308, 523, 392 Calculator

Given Input numbers are 308, 523, 392

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 308, 523, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 523, 392 is 1.

Therefore, GCD of numbers 308, 523, 392 is 1

Given Input Data is 308, 523, 392

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 523 is 523

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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(308, 523) = 161084

GCD(308, 523) = ( 308 x 523 ) / 161084

GCD(308, 523) = 161084 / 161084

GCD(308, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 308, 523, 392 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 440, 155
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• GCD of 611, 899, 826
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1. What is the GCD of 308, 523, 392?

GCD of 308, 523, 392 is 1

2. Where do I get the detailed procedure to find GCD of 308, 523, 392?

You can find a detailed procedure to find GCD of 308, 523, 392 on our page.

3. How to find GCD of 308, 523, 392 on a calculator?

You can find the GCD of 308, 523, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.