GCD of 198, 267, 574, 142 Calculator

Given Input numbers are 198, 267, 574, 142

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 198, 267, 574, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 267, 574, 142 is 1.

Therefore, GCD of numbers 198, 267, 574, 142 is 1

Given Input Data is 198, 267, 574, 142

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 267 is 3 x 89

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 142 is 2 x 71

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(198, 267) = 17622

GCD(198, 267) = ( 198 x 267 ) / 17622

GCD(198, 267) = 52866 / 17622

GCD(198, 267) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 574

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

LCM(3, 574) = 1722

GCD(3, 574) = ( 3 x 574 ) / 1722

GCD(3, 574) = 1722 / 1722

GCD(3, 574) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 198, 267, 574, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 707, 347, 527
• GCD of 652, 438, 370, 428
• GCD of 687, 423, 105, 558
• GCD of 200, 880, 154, 710
• GCD of 406, 416, 191, 594

1. What is the GCD of 198, 267, 574, 142?

GCD of 198, 267, 574, 142 is 1

2. Where do I get the detailed procedure to find GCD of 198, 267, 574, 142?

You can find a detailed procedure to find GCD of 198, 267, 574, 142 on our page.

3. How to find GCD of 198, 267, 574, 142 on a calculator?

You can find the GCD of 198, 267, 574, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.