GCD of 264, 102, 590, 223 Calculator

Given Input numbers are 264, 102, 590, 223

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Greatest Common Divisior

We found the divisors of 264, 102, 590, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 102, 590, 223 is 1.

Therefore, GCD of numbers 264, 102, 590, 223 is 1

Given Input Data is 264, 102, 590, 223

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 223 is 223

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(264, 102) = 4488

GCD(264, 102) = ( 264 x 102 ) / 4488

GCD(264, 102) = 26928 / 4488

GCD(264, 102) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 590

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

LCM(6, 590) = 1770

GCD(6, 590) = ( 6 x 590 ) / 1770

GCD(6, 590) = 3540 / 1770

GCD(6, 590) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 223

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

LCM(2, 223) = 446

GCD(2, 223) = ( 2 x 223 ) / 446

GCD(2, 223) = 446 / 446

GCD(2, 223) = 1

GCD of 264, 102, 590, 223 is 1

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• GCD of 420, 135, 449, 178
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1. What is the GCD of 264, 102, 590, 223?

GCD of 264, 102, 590, 223 is 1

2. Where do I get the detailed procedure to find GCD of 264, 102, 590, 223?

You can find a detailed procedure to find GCD of 264, 102, 590, 223 on our page.

3. How to find GCD of 264, 102, 590, 223 on a calculator?

You can find the GCD of 264, 102, 590, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.