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 71, 810, 117, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 810, 117, 304 is 1
GCD(71, 810, 117, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 810, 117, 304 is 1
GCD(71, 810, 117, 304) = 1
Given Input numbers are 71, 810, 117, 304
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
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 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 71, 810, 117, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 810, 117, 304 is 1.
Therefore, GCD of numbers 71, 810, 117, 304 is 1
Given Input Data is 71, 810, 117, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
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(71, 810) = 57510
GCD(71, 810) = ( 71 x 810 ) / 57510
GCD(71, 810) = 57510 / 57510
GCD(71, 810) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
GCD(1, 117) = 117 / 117
GCD(1, 117) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 71, 810, 117, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 810, 117, 304?
GCD of 71, 810, 117, 304 is 1
2. Where do I get the detailed procedure to find GCD of 71, 810, 117, 304?
You can find a detailed procedure to find GCD of 71, 810, 117, 304 on our page.
3. How to find GCD of 71, 810, 117, 304 on a calculator?
You can find the GCD of 71, 810, 117, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.