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, 429, 895, 213 i.e. 1 largest integer that divides all the numbers equally.
GCD of 809, 429, 895, 213 is 1
GCD(809, 429, 895, 213) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 809, 429, 895, 213 is 1
GCD(809, 429, 895, 213) = 1
Given Input numbers are 809, 429, 895, 213
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 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Greatest Common Divisior
We found the divisors of 809, 429, 895, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 429, 895, 213 is 1.
Therefore, GCD of numbers 809, 429, 895, 213 is 1
Given Input Data is 809, 429, 895, 213
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 809 is 809
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 895 is 5 x 179
Prime Factorization of 213 is 3 x 71
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, 429) = 347061
GCD(809, 429) = ( 809 x 429 ) / 347061
GCD(809, 429) = 347061 / 347061
GCD(809, 429) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 895
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 895) = 895
GCD(1, 895) = ( 1 x 895 ) / 895
GCD(1, 895) = 895 / 895
GCD(1, 895) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 213
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
GCD(1, 213) = 213 / 213
GCD(1, 213) = 1
GCD of 809, 429, 895, 213 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 809, 429, 895, 213?
GCD of 809, 429, 895, 213 is 1
2. Where do I get the detailed procedure to find GCD of 809, 429, 895, 213?
You can find a detailed procedure to find GCD of 809, 429, 895, 213 on our page.
3. How to find GCD of 809, 429, 895, 213 on a calculator?
You can find the GCD of 809, 429, 895, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.