GCD of 258, 922, 23, 689 Calculator

Given Input numbers are 258, 922, 23, 689

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

Divisors of 258

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

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

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 258, 922, 23, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 922, 23, 689 is 1.

Therefore, GCD of numbers 258, 922, 23, 689 is 1

Given Input Data is 258, 922, 23, 689

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 922 is 2 x 461

Prime Factorization of 23 is 23

Prime Factorization of 689 is 13 x 53

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(258, 922) = 118938

GCD(258, 922) = ( 258 x 922 ) / 118938

GCD(258, 922) = 237876 / 118938

GCD(258, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 258, 922, 23, 689 is 1

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1. What is the GCD of 258, 922, 23, 689?

GCD of 258, 922, 23, 689 is 1

2. Where do I get the detailed procedure to find GCD of 258, 922, 23, 689?

You can find a detailed procedure to find GCD of 258, 922, 23, 689 on our page.

3. How to find GCD of 258, 922, 23, 689 on a calculator?

You can find the GCD of 258, 922, 23, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.