GCD of 12, 229, 898, 142 Calculator

Given Input numbers are 12, 229, 898, 142

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

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 12, 229, 898, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 229, 898, 142 is 1.

Therefore, GCD of numbers 12, 229, 898, 142 is 1

Given Input Data is 12, 229, 898, 142

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 229 is 229

Prime Factorization of 898 is 2 x 449

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(12, 229) = 2748

GCD(12, 229) = ( 12 x 229 ) / 2748

GCD(12, 229) = 2748 / 2748

GCD(12, 229) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 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 12, 229, 898, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 503, 689, 488
• GCD of 34, 648, 182, 582
• GCD of 71, 775, 438, 473
• GCD of 97, 934, 389, 217
• GCD of 83, 516, 822, 375

1. What is the GCD of 12, 229, 898, 142?

GCD of 12, 229, 898, 142 is 1

2. Where do I get the detailed procedure to find GCD of 12, 229, 898, 142?

You can find a detailed procedure to find GCD of 12, 229, 898, 142 on our page.

3. How to find GCD of 12, 229, 898, 142 on a calculator?

You can find the GCD of 12, 229, 898, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.