GCD of 459, 391, 924, 912 Calculator

Given Input numbers are 459, 391, 924, 912

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Greatest Common Divisior

We found the divisors of 459, 391, 924, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 391, 924, 912 is 1.

Therefore, GCD of numbers 459, 391, 924, 912 is 1

Given Input Data is 459, 391, 924, 912

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 391 is 17 x 23

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

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(459, 391) = 10557

GCD(459, 391) = ( 459 x 391 ) / 10557

GCD(459, 391) = 179469 / 10557

GCD(459, 391) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 924

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

LCM(17, 924) = 15708

GCD(17, 924) = ( 17 x 924 ) / 15708

GCD(17, 924) = 15708 / 15708

GCD(17, 924) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 912

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

LCM(1, 912) = 912

GCD(1, 912) = ( 1 x 912 ) / 912

GCD(1, 912) = 912 / 912

GCD(1, 912) = 1

GCD of 459, 391, 924, 912 is 1

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1. What is the GCD of 459, 391, 924, 912?

GCD of 459, 391, 924, 912 is 1

2. Where do I get the detailed procedure to find GCD of 459, 391, 924, 912?

You can find a detailed procedure to find GCD of 459, 391, 924, 912 on our page.

3. How to find GCD of 459, 391, 924, 912 on a calculator?

You can find the GCD of 459, 391, 924, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.