GCD of 219, 140, 558, 473 Calculator

Given Input numbers are 219, 140, 558, 473

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 219, 140, 558, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 140, 558, 473 is 1.

Therefore, GCD of numbers 219, 140, 558, 473 is 1

Given Input Data is 219, 140, 558, 473

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 473 is 11 x 43

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(219, 140) = 30660

GCD(219, 140) = ( 219 x 140 ) / 30660

GCD(219, 140) = 30660 / 30660

GCD(219, 140) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 219, 140, 558, 473 is 1

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1. What is the GCD of 219, 140, 558, 473?

GCD of 219, 140, 558, 473 is 1

2. Where do I get the detailed procedure to find GCD of 219, 140, 558, 473?

You can find a detailed procedure to find GCD of 219, 140, 558, 473 on our page.

3. How to find GCD of 219, 140, 558, 473 on a calculator?

You can find the GCD of 219, 140, 558, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.