GCD of 574, 548, 81, 189 Calculator

Given Input numbers are 574, 548, 81, 189

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 189

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

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

Greatest Common Divisior

We found the divisors of 574, 548, 81, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 548, 81, 189 is 1.

Therefore, GCD of numbers 574, 548, 81, 189 is 1

Given Input Data is 574, 548, 81, 189

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 81 is 3 x 3 x 3 x 3

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

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(574, 548) = 157276

GCD(574, 548) = ( 574 x 548 ) / 157276

GCD(574, 548) = 314552 / 157276

GCD(574, 548) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 574, 548, 81, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 582, 83, 276
• GCD of 261, 181, 30, 859
• GCD of 316, 777, 63, 112
• GCD of 485, 384, 81, 166
• GCD of 617, 114, 64, 301

1. What is the GCD of 574, 548, 81, 189?

GCD of 574, 548, 81, 189 is 1

2. Where do I get the detailed procedure to find GCD of 574, 548, 81, 189?

You can find a detailed procedure to find GCD of 574, 548, 81, 189 on our page.

3. How to find GCD of 574, 548, 81, 189 on a calculator?

You can find the GCD of 574, 548, 81, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.