GCD of 218, 280, 555, 133 Calculator

Given Input numbers are 218, 280, 555, 133

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

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

Divisors of 555

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

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 218, 280, 555, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 280, 555, 133 is 1.

Therefore, GCD of numbers 218, 280, 555, 133 is 1

Given Input Data is 218, 280, 555, 133

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 133 is 7 x 19

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(218, 280) = 30520

GCD(218, 280) = ( 218 x 280 ) / 30520

GCD(218, 280) = 61040 / 30520

GCD(218, 280) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 555

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

LCM(2, 555) = 1110

GCD(2, 555) = ( 2 x 555 ) / 1110

GCD(2, 555) = 1110 / 1110

GCD(2, 555) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 218, 280, 555, 133 is 1

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1. What is the GCD of 218, 280, 555, 133?

GCD of 218, 280, 555, 133 is 1

2. Where do I get the detailed procedure to find GCD of 218, 280, 555, 133?

You can find a detailed procedure to find GCD of 218, 280, 555, 133 on our page.

3. How to find GCD of 218, 280, 555, 133 on a calculator?

You can find the GCD of 218, 280, 555, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.