GCD of 463, 789, 892, 578 Calculator

Given Input numbers are 463, 789, 892, 578

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

Divisors of 463

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

1, 463

Divisors of 789

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

1, 3, 263, 789

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 463, 789, 892, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 789, 892, 578 is 1.

Therefore, GCD of numbers 463, 789, 892, 578 is 1

Given Input Data is 463, 789, 892, 578

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

Prime Factorization of 463 is 463

Prime Factorization of 789 is 3 x 263

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 578 is 2 x 17 x 17

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(463, 789) = 365307

GCD(463, 789) = ( 463 x 789 ) / 365307

GCD(463, 789) = 365307 / 365307

GCD(463, 789) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 463, 789, 892, 578 is 1

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1. What is the GCD of 463, 789, 892, 578?

GCD of 463, 789, 892, 578 is 1

2. Where do I get the detailed procedure to find GCD of 463, 789, 892, 578?

You can find a detailed procedure to find GCD of 463, 789, 892, 578 on our page.

3. How to find GCD of 463, 789, 892, 578 on a calculator?

You can find the GCD of 463, 789, 892, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.