GCD of 208, 224, 283, 591 Calculator

Given Input numbers are 208, 224, 283, 591

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Greatest Common Divisior

We found the divisors of 208, 224, 283, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 224, 283, 591 is 1.

Therefore, GCD of numbers 208, 224, 283, 591 is 1

Given Input Data is 208, 224, 283, 591

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 283 is 283

Prime Factorization of 591 is 3 x 197

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(208, 224) = 2912

GCD(208, 224) = ( 208 x 224 ) / 2912

GCD(208, 224) = 46592 / 2912

GCD(208, 224) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 283

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

LCM(16, 283) = 4528

GCD(16, 283) = ( 16 x 283 ) / 4528

GCD(16, 283) = 4528 / 4528

GCD(16, 283) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

GCD of 208, 224, 283, 591 is 1

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• GCD of 402, 952, 472, 224
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1. What is the GCD of 208, 224, 283, 591?

GCD of 208, 224, 283, 591 is 1

2. Where do I get the detailed procedure to find GCD of 208, 224, 283, 591?

You can find a detailed procedure to find GCD of 208, 224, 283, 591 on our page.

3. How to find GCD of 208, 224, 283, 591 on a calculator?

You can find the GCD of 208, 224, 283, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.