GCD of 20, 406, 799, 829 Calculator

Given Input numbers are 20, 406, 799, 829

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 829

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

1, 829

Greatest Common Divisior

We found the divisors of 20, 406, 799, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 406, 799, 829 is 1.

Therefore, GCD of numbers 20, 406, 799, 829 is 1

Given Input Data is 20, 406, 799, 829

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 799 is 17 x 47

Prime Factorization of 829 is 829

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(20, 406) = 4060

GCD(20, 406) = ( 20 x 406 ) / 4060

GCD(20, 406) = 8120 / 4060

GCD(20, 406) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 799

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

LCM(2, 799) = 1598

GCD(2, 799) = ( 2 x 799 ) / 1598

GCD(2, 799) = 1598 / 1598

GCD(2, 799) = 1

Step3:

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

GCD of 20, 406, 799, 829 is 1

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• GCD of 84, 971, 191, 557
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1. What is the GCD of 20, 406, 799, 829?

GCD of 20, 406, 799, 829 is 1

2. Where do I get the detailed procedure to find GCD of 20, 406, 799, 829?

You can find a detailed procedure to find GCD of 20, 406, 799, 829 on our page.

3. How to find GCD of 20, 406, 799, 829 on a calculator?

You can find the GCD of 20, 406, 799, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.