GCD of 321, 697, 258 Calculator

Given Input numbers are 321, 697, 258

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

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 321, 697, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 697, 258 is 1.

Therefore, GCD of numbers 321, 697, 258 is 1

Given Input Data is 321, 697, 258

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 697 is 17 x 41

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(321, 697) = 223737

GCD(321, 697) = ( 321 x 697 ) / 223737

GCD(321, 697) = 223737 / 223737

GCD(321, 697) = 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 321, 697, 258 is 1

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1. What is the GCD of 321, 697, 258?

GCD of 321, 697, 258 is 1

2. Where do I get the detailed procedure to find GCD of 321, 697, 258?

You can find a detailed procedure to find GCD of 321, 697, 258 on our page.

3. How to find GCD of 321, 697, 258 on a calculator?

You can find the GCD of 321, 697, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.