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 809, 838, 35, 551 i.e. 1 largest integer that divides all the numbers equally.
GCD of 809, 838, 35, 551 is 1
GCD(809, 838, 35, 551) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 809, 838, 35, 551 is 1
GCD(809, 838, 35, 551) = 1
Given Input numbers are 809, 838, 35, 551
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Greatest Common Divisior
We found the divisors of 809, 838, 35, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 838, 35, 551 is 1.
Therefore, GCD of numbers 809, 838, 35, 551 is 1
Given Input Data is 809, 838, 35, 551
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 809 is 809
Prime Factorization of 838 is 2 x 419
Prime Factorization of 35 is 5 x 7
Prime Factorization of 551 is 19 x 29
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(809, 838) = 677942
GCD(809, 838) = ( 809 x 838 ) / 677942
GCD(809, 838) = 677942 / 677942
GCD(809, 838) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 551
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 551) = 551
GCD(1, 551) = ( 1 x 551 ) / 551
GCD(1, 551) = 551 / 551
GCD(1, 551) = 1
GCD of 809, 838, 35, 551 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 809, 838, 35, 551?
GCD of 809, 838, 35, 551 is 1
2. Where do I get the detailed procedure to find GCD of 809, 838, 35, 551?
You can find a detailed procedure to find GCD of 809, 838, 35, 551 on our page.
3. How to find GCD of 809, 838, 35, 551 on a calculator?
You can find the GCD of 809, 838, 35, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.