GCD of 18, 296, 921, 566 Calculator

Given Input numbers are 18, 296, 921, 566

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 18, 296, 921, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 296, 921, 566 is 1.

Therefore, GCD of numbers 18, 296, 921, 566 is 1

Given Input Data is 18, 296, 921, 566

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 921 is 3 x 307

Prime Factorization of 566 is 2 x 283

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(18, 296) = 2664

GCD(18, 296) = ( 18 x 296 ) / 2664

GCD(18, 296) = 5328 / 2664

GCD(18, 296) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 921

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

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

GCD(2, 921) = 1842 / 1842

GCD(2, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 566

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

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

GCD(1, 566) = 566 / 566

GCD(1, 566) = 1

GCD of 18, 296, 921, 566 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 900, 449, 254
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• GCD of 47, 781, 980, 304

1. What is the GCD of 18, 296, 921, 566?

GCD of 18, 296, 921, 566 is 1

2. Where do I get the detailed procedure to find GCD of 18, 296, 921, 566?

You can find a detailed procedure to find GCD of 18, 296, 921, 566 on our page.

3. How to find GCD of 18, 296, 921, 566 on a calculator?

You can find the GCD of 18, 296, 921, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.