GCD of 561, 576, 119, 408 Calculator

Given Input numbers are 561, 576, 119, 408

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

Divisors of 561

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

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 561, 576, 119, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 576, 119, 408 is 1.

Therefore, GCD of numbers 561, 576, 119, 408 is 1

Given Input Data is 561, 576, 119, 408

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 119 is 7 x 17

Prime Factorization of 408 is 2 x 2 x 2 x 3 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(561, 576) = 107712

GCD(561, 576) = ( 561 x 576 ) / 107712

GCD(561, 576) = 323136 / 107712

GCD(561, 576) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 119

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

LCM(3, 119) = 357

GCD(3, 119) = ( 3 x 119 ) / 357

GCD(3, 119) = 357 / 357

GCD(3, 119) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 561, 576, 119, 408 is 1

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1. What is the GCD of 561, 576, 119, 408?

GCD of 561, 576, 119, 408 is 1

2. Where do I get the detailed procedure to find GCD of 561, 576, 119, 408?

You can find a detailed procedure to find GCD of 561, 576, 119, 408 on our page.

3. How to find GCD of 561, 576, 119, 408 on a calculator?

You can find the GCD of 561, 576, 119, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.