GCD of 418, 561, 132, 999 Calculator

Given Input numbers are 418, 561, 132, 999

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

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 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 418, 561, 132, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 561, 132, 999 is 1.

Therefore, GCD of numbers 418, 561, 132, 999 is 1

Given Input Data is 418, 561, 132, 999

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 999 is 3 x 3 x 3 x 37

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(418, 561) = 21318

GCD(418, 561) = ( 418 x 561 ) / 21318

GCD(418, 561) = 234498 / 21318

GCD(418, 561) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 132

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

LCM(11, 132) = 132

GCD(11, 132) = ( 11 x 132 ) / 132

GCD(11, 132) = 1452 / 132

GCD(11, 132) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 999

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

LCM(11, 999) = 10989

GCD(11, 999) = ( 11 x 999 ) / 10989

GCD(11, 999) = 10989 / 10989

GCD(11, 999) = 1

GCD of 418, 561, 132, 999 is 1

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1. What is the GCD of 418, 561, 132, 999?

GCD of 418, 561, 132, 999 is 1

2. Where do I get the detailed procedure to find GCD of 418, 561, 132, 999?

You can find a detailed procedure to find GCD of 418, 561, 132, 999 on our page.

3. How to find GCD of 418, 561, 132, 999 on a calculator?

You can find the GCD of 418, 561, 132, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.