GCD of 257, 123, 324 Calculator

Given Input numbers are 257, 123, 324

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 257, 123, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 123, 324 is 1.

Therefore, GCD of numbers 257, 123, 324 is 1

Given Input Data is 257, 123, 324

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

Prime Factorization of 257 is 257

Prime Factorization of 123 is 3 x 41

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(257, 123) = 31611

GCD(257, 123) = ( 257 x 123 ) / 31611

GCD(257, 123) = 31611 / 31611

GCD(257, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 257, 123, 324 is 1

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1. What is the GCD of 257, 123, 324?

GCD of 257, 123, 324 is 1

2. Where do I get the detailed procedure to find GCD of 257, 123, 324?

You can find a detailed procedure to find GCD of 257, 123, 324 on our page.

3. How to find GCD of 257, 123, 324 on a calculator?

You can find the GCD of 257, 123, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.