GCD of 255, 123, 23, 145 Calculator

Given Input numbers are 255, 123, 23, 145

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 123

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

1, 3, 41, 123

Divisors of 23

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

1, 23

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 255, 123, 23, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 123, 23, 145 is 1.

Therefore, GCD of numbers 255, 123, 23, 145 is 1

Given Input Data is 255, 123, 23, 145

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 123 is 3 x 41

Prime Factorization of 23 is 23

Prime Factorization of 145 is 5 x 29

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(255, 123) = 10455

GCD(255, 123) = ( 255 x 123 ) / 10455

GCD(255, 123) = 31365 / 10455

GCD(255, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 255, 123, 23, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 655, 15, 296
• GCD of 263, 532, 54, 717
• GCD of 436, 425, 83, 814
• GCD of 853, 922, 63, 821
• GCD of 174, 257, 30, 575

1. What is the GCD of 255, 123, 23, 145?

GCD of 255, 123, 23, 145 is 1

2. Where do I get the detailed procedure to find GCD of 255, 123, 23, 145?

You can find a detailed procedure to find GCD of 255, 123, 23, 145 on our page.

3. How to find GCD of 255, 123, 23, 145 on a calculator?

You can find the GCD of 255, 123, 23, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.