GCD of 789, 392, 463, 492 Calculator

Given Input numbers are 789, 392, 463, 492

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

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

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 789, 392, 463, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 392, 463, 492 is 1.

Therefore, GCD of numbers 789, 392, 463, 492 is 1

Given Input Data is 789, 392, 463, 492

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

Prime Factorization of 789 is 3 x 263

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

Prime Factorization of 463 is 463

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(789, 392) = 309288

GCD(789, 392) = ( 789 x 392 ) / 309288

GCD(789, 392) = 309288 / 309288

GCD(789, 392) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 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 789, 392, 463, 492 is 1

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1. What is the GCD of 789, 392, 463, 492?

GCD of 789, 392, 463, 492 is 1

2. Where do I get the detailed procedure to find GCD of 789, 392, 463, 492?

You can find a detailed procedure to find GCD of 789, 392, 463, 492 on our page.

3. How to find GCD of 789, 392, 463, 492 on a calculator?

You can find the GCD of 789, 392, 463, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.