GCD of 321, 126, 27, 142 Calculator

Given Input numbers are 321, 126, 27, 142

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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 321, 126, 27, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 126, 27, 142 is 1.

Therefore, GCD of numbers 321, 126, 27, 142 is 1

Given Input Data is 321, 126, 27, 142

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 27 is 3 x 3 x 3

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(321, 126) = 13482

GCD(321, 126) = ( 321 x 126 ) / 13482

GCD(321, 126) = 40446 / 13482

GCD(321, 126) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

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

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 142

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

LCM(3, 142) = 426

GCD(3, 142) = ( 3 x 142 ) / 426

GCD(3, 142) = 426 / 426

GCD(3, 142) = 1

GCD of 321, 126, 27, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 668, 63, 919
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• GCD of 939, 942, 16, 463

1. What is the GCD of 321, 126, 27, 142?

GCD of 321, 126, 27, 142 is 1

2. Where do I get the detailed procedure to find GCD of 321, 126, 27, 142?

You can find a detailed procedure to find GCD of 321, 126, 27, 142 on our page.

3. How to find GCD of 321, 126, 27, 142 on a calculator?

You can find the GCD of 321, 126, 27, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.