GCD of 39, 798, 831, 142 Calculator

Given Input numbers are 39, 798, 831, 142

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

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 39, 798, 831, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 798, 831, 142 is 1.

Therefore, GCD of numbers 39, 798, 831, 142 is 1

Given Input Data is 39, 798, 831, 142

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 831 is 3 x 277

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(39, 798) = 10374

GCD(39, 798) = ( 39 x 798 ) / 10374

GCD(39, 798) = 31122 / 10374

GCD(39, 798) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 831

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

LCM(3, 831) = 831

GCD(3, 831) = ( 3 x 831 ) / 831

GCD(3, 831) = 2493 / 831

GCD(3, 831) = 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 39, 798, 831, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 135, 955, 890
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• GCD of 47, 846, 522, 139

1. What is the GCD of 39, 798, 831, 142?

GCD of 39, 798, 831, 142 is 1

2. Where do I get the detailed procedure to find GCD of 39, 798, 831, 142?

You can find a detailed procedure to find GCD of 39, 798, 831, 142 on our page.

3. How to find GCD of 39, 798, 831, 142 on a calculator?

You can find the GCD of 39, 798, 831, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.