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 810, 868, 65, 471 i.e. 1 largest integer that divides all the numbers equally.
GCD of 810, 868, 65, 471 is 1
GCD(810, 868, 65, 471) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 810, 868, 65, 471 is 1
GCD(810, 868, 65, 471) = 1
Given Input numbers are 810, 868, 65, 471
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Greatest Common Divisior
We found the divisors of 810, 868, 65, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 868, 65, 471 is 1.
Therefore, GCD of numbers 810, 868, 65, 471 is 1
Given Input Data is 810, 868, 65, 471
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 65 is 5 x 13
Prime Factorization of 471 is 3 x 157
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(810, 868) = 351540
GCD(810, 868) = ( 810 x 868 ) / 351540
GCD(810, 868) = 703080 / 351540
GCD(810, 868) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 65) = 130
GCD(2, 65) = ( 2 x 65 ) / 130
GCD(2, 65) = 130 / 130
GCD(2, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 471
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 471) = 471
GCD(1, 471) = ( 1 x 471 ) / 471
GCD(1, 471) = 471 / 471
GCD(1, 471) = 1
GCD of 810, 868, 65, 471 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 810, 868, 65, 471?
GCD of 810, 868, 65, 471 is 1
2. Where do I get the detailed procedure to find GCD of 810, 868, 65, 471?
You can find a detailed procedure to find GCD of 810, 868, 65, 471 on our page.
3. How to find GCD of 810, 868, 65, 471 on a calculator?
You can find the GCD of 810, 868, 65, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.