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 878, 947, 67, 816 i.e. 1 largest integer that divides all the numbers equally.
GCD of 878, 947, 67, 816 is 1
GCD(878, 947, 67, 816) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 878, 947, 67, 816 is 1
GCD(878, 947, 67, 816) = 1
Given Input numbers are 878, 947, 67, 816
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
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
Greatest Common Divisior
We found the divisors of 878, 947, 67, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 947, 67, 816 is 1.
Therefore, GCD of numbers 878, 947, 67, 816 is 1
Given Input Data is 878, 947, 67, 816
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 878 is 2 x 439
Prime Factorization of 947 is 947
Prime Factorization of 67 is 67
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
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(878, 947) = 831466
GCD(878, 947) = ( 878 x 947 ) / 831466
GCD(878, 947) = 831466 / 831466
GCD(878, 947) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 816
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 816) = 816
GCD(1, 816) = ( 1 x 816 ) / 816
GCD(1, 816) = 816 / 816
GCD(1, 816) = 1
GCD of 878, 947, 67, 816 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 878, 947, 67, 816?
GCD of 878, 947, 67, 816 is 1
2. Where do I get the detailed procedure to find GCD of 878, 947, 67, 816?
You can find a detailed procedure to find GCD of 878, 947, 67, 816 on our page.
3. How to find GCD of 878, 947, 67, 816 on a calculator?
You can find the GCD of 878, 947, 67, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.