GCD of 558, 189, 73, 214 Calculator

Given Input numbers are 558, 189, 73, 214

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

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 558, 189, 73, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 189, 73, 214 is 1.

Therefore, GCD of numbers 558, 189, 73, 214 is 1

Given Input Data is 558, 189, 73, 214

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

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 73 is 73

Prime Factorization of 214 is 2 x 107

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(558, 189) = 11718

GCD(558, 189) = ( 558 x 189 ) / 11718

GCD(558, 189) = 105462 / 11718

GCD(558, 189) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 73

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

LCM(9, 73) = 657

GCD(9, 73) = ( 9 x 73 ) / 657

GCD(9, 73) = 657 / 657

GCD(9, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 558, 189, 73, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 124, 84, 575
• GCD of 229, 968, 83, 796
• GCD of 528, 472, 24, 613
• GCD of 250, 227, 42, 159
• GCD of 498, 972, 27, 565

1. What is the GCD of 558, 189, 73, 214?

GCD of 558, 189, 73, 214 is 1

2. Where do I get the detailed procedure to find GCD of 558, 189, 73, 214?

You can find a detailed procedure to find GCD of 558, 189, 73, 214 on our page.

3. How to find GCD of 558, 189, 73, 214 on a calculator?

You can find the GCD of 558, 189, 73, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.