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 509, 550, 20, 891 i.e. 1 largest integer that divides all the numbers equally.
GCD of 509, 550, 20, 891 is 1
GCD(509, 550, 20, 891) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 509, 550, 20, 891 is 1
GCD(509, 550, 20, 891) = 1
Given Input numbers are 509, 550, 20, 891
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Greatest Common Divisior
We found the divisors of 509, 550, 20, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 550, 20, 891 is 1.
Therefore, GCD of numbers 509, 550, 20, 891 is 1
Given Input Data is 509, 550, 20, 891
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 509 is 509
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
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(509, 550) = 279950
GCD(509, 550) = ( 509 x 550 ) / 279950
GCD(509, 550) = 279950 / 279950
GCD(509, 550) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 891
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 891) = 891
GCD(1, 891) = ( 1 x 891 ) / 891
GCD(1, 891) = 891 / 891
GCD(1, 891) = 1
GCD of 509, 550, 20, 891 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 509, 550, 20, 891?
GCD of 509, 550, 20, 891 is 1
2. Where do I get the detailed procedure to find GCD of 509, 550, 20, 891?
You can find a detailed procedure to find GCD of 509, 550, 20, 891 on our page.
3. How to find GCD of 509, 550, 20, 891 on a calculator?
You can find the GCD of 509, 550, 20, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.