GCD of 799, 900, 29, 381 Calculator

Given Input numbers are 799, 900, 29, 381

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

Divisors of 799

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

1, 17, 47, 799

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 799, 900, 29, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 799, 900, 29, 381 is 1.

Therefore, GCD of numbers 799, 900, 29, 381 is 1

Given Input Data is 799, 900, 29, 381

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

Prime Factorization of 799 is 17 x 47

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 29 is 29

Prime Factorization of 381 is 3 x 127

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(799, 900) = 719100

GCD(799, 900) = ( 799 x 900 ) / 719100

GCD(799, 900) = 719100 / 719100

GCD(799, 900) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 799, 900, 29, 381 is 1

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1. What is the GCD of 799, 900, 29, 381?

GCD of 799, 900, 29, 381 is 1

2. Where do I get the detailed procedure to find GCD of 799, 900, 29, 381?

You can find a detailed procedure to find GCD of 799, 900, 29, 381 on our page.

3. How to find GCD of 799, 900, 29, 381 on a calculator?

You can find the GCD of 799, 900, 29, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.