GCD of 123, 273, 25, 299 Calculator

Given Input numbers are 123, 273, 25, 299

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

Divisors of 123

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

1, 3, 41, 123

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 123, 273, 25, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 273, 25, 299 is 1.

Therefore, GCD of numbers 123, 273, 25, 299 is 1

Given Input Data is 123, 273, 25, 299

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 25 is 5 x 5

Prime Factorization of 299 is 13 x 23

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(123, 273) = 11193

GCD(123, 273) = ( 123 x 273 ) / 11193

GCD(123, 273) = 33579 / 11193

GCD(123, 273) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 25

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

LCM(3, 25) = 75

GCD(3, 25) = ( 3 x 25 ) / 75

GCD(3, 25) = 75 / 75

GCD(3, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 123, 273, 25, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 733, 91, 565
• GCD of 163, 384, 92, 758
• GCD of 265, 156, 95, 967
• GCD of 674, 731, 34, 328
• GCD of 208, 578, 86, 551

1. What is the GCD of 123, 273, 25, 299?

GCD of 123, 273, 25, 299 is 1

2. Where do I get the detailed procedure to find GCD of 123, 273, 25, 299?

You can find a detailed procedure to find GCD of 123, 273, 25, 299 on our page.

3. How to find GCD of 123, 273, 25, 299 on a calculator?

You can find the GCD of 123, 273, 25, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.