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 211, 509, 755, 808 i.e. 1 largest integer that divides all the numbers equally.
GCD of 211, 509, 755, 808 is 1
GCD(211, 509, 755, 808) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 211, 509, 755, 808 is 1
GCD(211, 509, 755, 808) = 1
Given Input numbers are 211, 509, 755, 808
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Greatest Common Divisior
We found the divisors of 211, 509, 755, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 211, 509, 755, 808 is 1.
Therefore, GCD of numbers 211, 509, 755, 808 is 1
Given Input Data is 211, 509, 755, 808
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 211 is 211
Prime Factorization of 509 is 509
Prime Factorization of 755 is 5 x 151
Prime Factorization of 808 is 2 x 2 x 2 x 101
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(211, 509) = 107399
GCD(211, 509) = ( 211 x 509 ) / 107399
GCD(211, 509) = 107399 / 107399
GCD(211, 509) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
GCD(1, 755) = 755 / 755
GCD(1, 755) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
GCD of 211, 509, 755, 808 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 211, 509, 755, 808?
GCD of 211, 509, 755, 808 is 1
2. Where do I get the detailed procedure to find GCD of 211, 509, 755, 808?
You can find a detailed procedure to find GCD of 211, 509, 755, 808 on our page.
3. How to find GCD of 211, 509, 755, 808 on a calculator?
You can find the GCD of 211, 509, 755, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.