GCD of 159, 820, 829, 139 Calculator

Given Input numbers are 159, 820, 829, 139

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 159, 820, 829, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 820, 829, 139 is 1.

Therefore, GCD of numbers 159, 820, 829, 139 is 1

Given Input Data is 159, 820, 829, 139

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 829 is 829

Prime Factorization of 139 is 139

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(159, 820) = 130380

GCD(159, 820) = ( 159 x 820 ) / 130380

GCD(159, 820) = 130380 / 130380

GCD(159, 820) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 139

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

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

GCD(1, 139) = 139 / 139

GCD(1, 139) = 1

GCD of 159, 820, 829, 139 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 594, 571, 386
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• GCD of 581, 563, 199, 812

1. What is the GCD of 159, 820, 829, 139?

GCD of 159, 820, 829, 139 is 1

2. Where do I get the detailed procedure to find GCD of 159, 820, 829, 139?

You can find a detailed procedure to find GCD of 159, 820, 829, 139 on our page.

3. How to find GCD of 159, 820, 829, 139 on a calculator?

You can find the GCD of 159, 820, 829, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.