GCD of 204, 792, 760, 561 Calculator

Given Input numbers are 204, 792, 760, 561

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 204, 792, 760, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 792, 760, 561 is 1.

Therefore, GCD of numbers 204, 792, 760, 561 is 1

Given Input Data is 204, 792, 760, 561

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 561 is 3 x 11 x 17

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(204, 792) = 13464

GCD(204, 792) = ( 204 x 792 ) / 13464

GCD(204, 792) = 161568 / 13464

GCD(204, 792) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 760

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

LCM(12, 760) = 2280

GCD(12, 760) = ( 12 x 760 ) / 2280

GCD(12, 760) = 9120 / 2280

GCD(12, 760) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 561

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

LCM(4, 561) = 2244

GCD(4, 561) = ( 4 x 561 ) / 2244

GCD(4, 561) = 2244 / 2244

GCD(4, 561) = 1

GCD of 204, 792, 760, 561 is 1

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1. What is the GCD of 204, 792, 760, 561?

GCD of 204, 792, 760, 561 is 1

2. Where do I get the detailed procedure to find GCD of 204, 792, 760, 561?

You can find a detailed procedure to find GCD of 204, 792, 760, 561 on our page.

3. How to find GCD of 204, 792, 760, 561 on a calculator?

You can find the GCD of 204, 792, 760, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.