GCD of 792, 459, 22, 657 Calculator

Given Input numbers are 792, 459, 22, 657

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 792, 459, 22, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 459, 22, 657 is 1.

Therefore, GCD of numbers 792, 459, 22, 657 is 1

Given Input Data is 792, 459, 22, 657

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 657 is 3 x 3 x 73

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(792, 459) = 40392

GCD(792, 459) = ( 792 x 459 ) / 40392

GCD(792, 459) = 363528 / 40392

GCD(792, 459) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 22

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

LCM(9, 22) = 198

GCD(9, 22) = ( 9 x 22 ) / 198

GCD(9, 22) = 198 / 198

GCD(9, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 792, 459, 22, 657 is 1

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1. What is the GCD of 792, 459, 22, 657?

GCD of 792, 459, 22, 657 is 1

2. Where do I get the detailed procedure to find GCD of 792, 459, 22, 657?

You can find a detailed procedure to find GCD of 792, 459, 22, 657 on our page.

3. How to find GCD of 792, 459, 22, 657 on a calculator?

You can find the GCD of 792, 459, 22, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.