GCD of 123, 906, 732, 284 Calculator

Given Input numbers are 123, 906, 732, 284

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 123, 906, 732, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 906, 732, 284 is 1.

Therefore, GCD of numbers 123, 906, 732, 284 is 1

Given Input Data is 123, 906, 732, 284

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 284 is 2 x 2 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(123, 906) = 37146

GCD(123, 906) = ( 123 x 906 ) / 37146

GCD(123, 906) = 111438 / 37146

GCD(123, 906) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 732

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

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

GCD(3, 732) = 2196 / 732

GCD(3, 732) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 284

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

LCM(3, 284) = 852

GCD(3, 284) = ( 3 x 284 ) / 852

GCD(3, 284) = 852 / 852

GCD(3, 284) = 1

GCD of 123, 906, 732, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 940, 832, 973
• GCD of 311, 570, 396, 219
• GCD of 193, 339, 286, 762
• GCD of 312, 399, 601, 266
• GCD of 910, 382, 146, 596

1. What is the GCD of 123, 906, 732, 284?

GCD of 123, 906, 732, 284 is 1

2. Where do I get the detailed procedure to find GCD of 123, 906, 732, 284?

You can find a detailed procedure to find GCD of 123, 906, 732, 284 on our page.

3. How to find GCD of 123, 906, 732, 284 on a calculator?

You can find the GCD of 123, 906, 732, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.