GCD of 831, 421, 258 Calculator

Given Input numbers are 831, 421, 258

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

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 831, 421, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 421, 258 is 1.

Therefore, GCD of numbers 831, 421, 258 is 1

Given Input Data is 831, 421, 258

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 421 is 421

Prime Factorization of 258 is 2 x 3 x 43

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(831, 421) = 349851

GCD(831, 421) = ( 831 x 421 ) / 349851

GCD(831, 421) = 349851 / 349851

GCD(831, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 831, 421, 258 is 1

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1. What is the GCD of 831, 421, 258?

GCD of 831, 421, 258 is 1

2. Where do I get the detailed procedure to find GCD of 831, 421, 258?

You can find a detailed procedure to find GCD of 831, 421, 258 on our page.

3. How to find GCD of 831, 421, 258 on a calculator?

You can find the GCD of 831, 421, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.