GCD of 219, 123, 90, 578 Calculator

Given Input numbers are 219, 123, 90, 578

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 219, 123, 90, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 123, 90, 578 is 1.

Therefore, GCD of numbers 219, 123, 90, 578 is 1

Given Input Data is 219, 123, 90, 578

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 123 is 3 x 41

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 578 is 2 x 17 x 17

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, 123) = 8979

GCD(219, 123) = ( 219 x 123 ) / 8979

GCD(219, 123) = 26937 / 8979

GCD(219, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 578

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

LCM(3, 578) = 1734

GCD(3, 578) = ( 3 x 578 ) / 1734

GCD(3, 578) = 1734 / 1734

GCD(3, 578) = 1

GCD of 219, 123, 90, 578 is 1

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1. What is the GCD of 219, 123, 90, 578?

GCD of 219, 123, 90, 578 is 1

2. Where do I get the detailed procedure to find GCD of 219, 123, 90, 578?

You can find a detailed procedure to find GCD of 219, 123, 90, 578 on our page.

3. How to find GCD of 219, 123, 90, 578 on a calculator?

You can find the GCD of 219, 123, 90, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.