GCD of 180, 825, 29, 806 Calculator

Given Input numbers are 180, 825, 29, 806

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 29

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

1, 29

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 180, 825, 29, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 825, 29, 806 is 1.

Therefore, GCD of numbers 180, 825, 29, 806 is 1

Given Input Data is 180, 825, 29, 806

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 29 is 29

Prime Factorization of 806 is 2 x 13 x 31

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(180, 825) = 9900

GCD(180, 825) = ( 180 x 825 ) / 9900

GCD(180, 825) = 148500 / 9900

GCD(180, 825) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 29

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

LCM(15, 29) = 435

GCD(15, 29) = ( 15 x 29 ) / 435

GCD(15, 29) = 435 / 435

GCD(15, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 180, 825, 29, 806 is 1

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• GCD of 349, 376, 47, 452
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• GCD of 381, 349, 41, 838

1. What is the GCD of 180, 825, 29, 806?

GCD of 180, 825, 29, 806 is 1

2. Where do I get the detailed procedure to find GCD of 180, 825, 29, 806?

You can find a detailed procedure to find GCD of 180, 825, 29, 806 on our page.

3. How to find GCD of 180, 825, 29, 806 on a calculator?

You can find the GCD of 180, 825, 29, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.