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 800, 509, 56, 801 i.e. 1 largest integer that divides all the numbers equally.
GCD of 800, 509, 56, 801 is 1
GCD(800, 509, 56, 801) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 800, 509, 56, 801 is 1
GCD(800, 509, 56, 801) = 1
Given Input numbers are 800, 509, 56, 801
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Greatest Common Divisior
We found the divisors of 800, 509, 56, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 509, 56, 801 is 1.
Therefore, GCD of numbers 800, 509, 56, 801 is 1
Given Input Data is 800, 509, 56, 801
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 509 is 509
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 801 is 3 x 3 x 89
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(800, 509) = 407200
GCD(800, 509) = ( 800 x 509 ) / 407200
GCD(800, 509) = 407200 / 407200
GCD(800, 509) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 56) = 56
GCD(1, 56) = ( 1 x 56 ) / 56
GCD(1, 56) = 56 / 56
GCD(1, 56) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 801
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 801) = 801
GCD(1, 801) = ( 1 x 801 ) / 801
GCD(1, 801) = 801 / 801
GCD(1, 801) = 1
GCD of 800, 509, 56, 801 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 800, 509, 56, 801?
GCD of 800, 509, 56, 801 is 1
2. Where do I get the detailed procedure to find GCD of 800, 509, 56, 801?
You can find a detailed procedure to find GCD of 800, 509, 56, 801 on our page.
3. How to find GCD of 800, 509, 56, 801 on a calculator?
You can find the GCD of 800, 509, 56, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.