GCD of 267, 105, 279, 923 Calculator

Given Input numbers are 267, 105, 279, 923

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 267, 105, 279, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 105, 279, 923 is 1.

Therefore, GCD of numbers 267, 105, 279, 923 is 1

Given Input Data is 267, 105, 279, 923

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 923 is 13 x 71

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(267, 105) = 9345

GCD(267, 105) = ( 267 x 105 ) / 9345

GCD(267, 105) = 28035 / 9345

GCD(267, 105) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 279

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

LCM(3, 279) = 279

GCD(3, 279) = ( 3 x 279 ) / 279

GCD(3, 279) = 837 / 279

GCD(3, 279) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 923

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

LCM(3, 923) = 2769

GCD(3, 923) = ( 3 x 923 ) / 2769

GCD(3, 923) = 2769 / 2769

GCD(3, 923) = 1

GCD of 267, 105, 279, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 253, 894, 167
• GCD of 439, 678, 547, 231
• GCD of 333, 450, 298, 222
• GCD of 638, 830, 336, 207
• GCD of 730, 874, 160, 669

1. What is the GCD of 267, 105, 279, 923?

GCD of 267, 105, 279, 923 is 1

2. Where do I get the detailed procedure to find GCD of 267, 105, 279, 923?

You can find a detailed procedure to find GCD of 267, 105, 279, 923 on our page.

3. How to find GCD of 267, 105, 279, 923 on a calculator?

You can find the GCD of 267, 105, 279, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.