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 803, 129, 15, 800 i.e. 1 largest integer that divides all the numbers equally.
GCD of 803, 129, 15, 800 is 1
GCD(803, 129, 15, 800) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 803, 129, 15, 800 is 1
GCD(803, 129, 15, 800) = 1
Given Input numbers are 803, 129, 15, 800
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Greatest Common Divisior
We found the divisors of 803, 129, 15, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 129, 15, 800 is 1.
Therefore, GCD of numbers 803, 129, 15, 800 is 1
Given Input Data is 803, 129, 15, 800
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 803 is 11 x 73
Prime Factorization of 129 is 3 x 43
Prime Factorization of 15 is 3 x 5
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
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(803, 129) = 103587
GCD(803, 129) = ( 803 x 129 ) / 103587
GCD(803, 129) = 103587 / 103587
GCD(803, 129) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
GCD of 803, 129, 15, 800 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 803, 129, 15, 800?
GCD of 803, 129, 15, 800 is 1
2. Where do I get the detailed procedure to find GCD of 803, 129, 15, 800?
You can find a detailed procedure to find GCD of 803, 129, 15, 800 on our page.
3. How to find GCD of 803, 129, 15, 800 on a calculator?
You can find the GCD of 803, 129, 15, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.