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 816, 734, 811, 878 i.e. 1 largest integer that divides all the numbers equally.
GCD of 816, 734, 811, 878 is 1
GCD(816, 734, 811, 878) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 816, 734, 811, 878 is 1
GCD(816, 734, 811, 878) = 1
Given Input numbers are 816, 734, 811, 878
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Greatest Common Divisior
We found the divisors of 816, 734, 811, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 734, 811, 878 is 1.
Therefore, GCD of numbers 816, 734, 811, 878 is 1
Given Input Data is 816, 734, 811, 878
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 734 is 2 x 367
Prime Factorization of 811 is 811
Prime Factorization of 878 is 2 x 439
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(816, 734) = 299472
GCD(816, 734) = ( 816 x 734 ) / 299472
GCD(816, 734) = 598944 / 299472
GCD(816, 734) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 811
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 811) = 1622
GCD(2, 811) = ( 2 x 811 ) / 1622
GCD(2, 811) = 1622 / 1622
GCD(2, 811) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 878) = 878
GCD(1, 878) = ( 1 x 878 ) / 878
GCD(1, 878) = 878 / 878
GCD(1, 878) = 1
GCD of 816, 734, 811, 878 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 816, 734, 811, 878?
GCD of 816, 734, 811, 878 is 1
2. Where do I get the detailed procedure to find GCD of 816, 734, 811, 878?
You can find a detailed procedure to find GCD of 816, 734, 811, 878 on our page.
3. How to find GCD of 816, 734, 811, 878 on a calculator?
You can find the GCD of 816, 734, 811, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.