GCD of 264, 588, 560, 555 Calculator

Given Input numbers are 264, 588, 560, 555

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 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Greatest Common Divisior

We found the divisors of 264, 588, 560, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 588, 560, 555 is 1.

Therefore, GCD of numbers 264, 588, 560, 555 is 1

Given Input Data is 264, 588, 560, 555

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 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 555 is 3 x 5 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(264, 588) = 12936

GCD(264, 588) = ( 264 x 588 ) / 12936

GCD(264, 588) = 155232 / 12936

GCD(264, 588) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 560

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

LCM(12, 560) = 1680

GCD(12, 560) = ( 12 x 560 ) / 1680

GCD(12, 560) = 6720 / 1680

GCD(12, 560) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 555

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

LCM(4, 555) = 2220

GCD(4, 555) = ( 4 x 555 ) / 2220

GCD(4, 555) = 2220 / 2220

GCD(4, 555) = 1

GCD of 264, 588, 560, 555 is 1

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1. What is the GCD of 264, 588, 560, 555?

GCD of 264, 588, 560, 555 is 1

2. Where do I get the detailed procedure to find GCD of 264, 588, 560, 555?

You can find a detailed procedure to find GCD of 264, 588, 560, 555 on our page.

3. How to find GCD of 264, 588, 560, 555 on a calculator?

You can find the GCD of 264, 588, 560, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.