GCD of 142, 267, 17, 230 Calculator

Given Input numbers are 142, 267, 17, 230

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

Divisors of 142

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

1, 2, 71, 142

Divisors of 267

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

1, 3, 89, 267

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Greatest Common Divisior

We found the divisors of 142, 267, 17, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 267, 17, 230 is 1.

Therefore, GCD of numbers 142, 267, 17, 230 is 1

Given Input Data is 142, 267, 17, 230

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 267 is 3 x 89

Prime Factorization of 17 is 17

Prime Factorization of 230 is 2 x 5 x 23

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(142, 267) = 37914

GCD(142, 267) = ( 142 x 267 ) / 37914

GCD(142, 267) = 37914 / 37914

GCD(142, 267) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 230

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

LCM(1, 230) = 230

GCD(1, 230) = ( 1 x 230 ) / 230

GCD(1, 230) = 230 / 230

GCD(1, 230) = 1

GCD of 142, 267, 17, 230 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 825, 60, 796
• GCD of 676, 911, 47, 255
• GCD of 267, 268, 18, 171
• GCD of 305, 397, 92, 503
• GCD of 428, 368, 14, 542

1. What is the GCD of 142, 267, 17, 230?

GCD of 142, 267, 17, 230 is 1

2. Where do I get the detailed procedure to find GCD of 142, 267, 17, 230?

You can find a detailed procedure to find GCD of 142, 267, 17, 230 on our page.

3. How to find GCD of 142, 267, 17, 230 on a calculator?

You can find the GCD of 142, 267, 17, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.