Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 180, 825, 29, 806 i.e. 1 largest integer that divides all the numbers equally.
GCD of 180, 825, 29, 806 is 1
GCD(180, 825, 29, 806) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 825, 29, 806 is 1
GCD(180, 825, 29, 806) = 1
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
Here are some samples of GCD of Numbers calculations.
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.