GCD of 288, 939, 567, 221 Calculator

Given Input numbers are 288, 939, 567, 221

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

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

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 288, 939, 567, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 939, 567, 221 is 1.

Therefore, GCD of numbers 288, 939, 567, 221 is 1

Given Input Data is 288, 939, 567, 221

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 939 is 3 x 313

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 221 is 13 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(288, 939) = 90144

GCD(288, 939) = ( 288 x 939 ) / 90144

GCD(288, 939) = 270432 / 90144

GCD(288, 939) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 567

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

LCM(3, 567) = 567

GCD(3, 567) = ( 3 x 567 ) / 567

GCD(3, 567) = 1701 / 567

GCD(3, 567) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 221

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

LCM(3, 221) = 663

GCD(3, 221) = ( 3 x 221 ) / 663

GCD(3, 221) = 663 / 663

GCD(3, 221) = 1

GCD of 288, 939, 567, 221 is 1

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1. What is the GCD of 288, 939, 567, 221?

GCD of 288, 939, 567, 221 is 1

2. Where do I get the detailed procedure to find GCD of 288, 939, 567, 221?

You can find a detailed procedure to find GCD of 288, 939, 567, 221 on our page.

3. How to find GCD of 288, 939, 567, 221 on a calculator?

You can find the GCD of 288, 939, 567, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.