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, 477, 40, 781 i.e. 1 largest integer that divides all the numbers equally.
GCD of 816, 477, 40, 781 is 1
GCD(816, 477, 40, 781) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 816, 477, 40, 781 is 1
GCD(816, 477, 40, 781) = 1
Given Input numbers are 816, 477, 40, 781
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 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 781
List of positive integer divisors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Greatest Common Divisior
We found the divisors of 816, 477, 40, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 477, 40, 781 is 1.
Therefore, GCD of numbers 816, 477, 40, 781 is 1
Given Input Data is 816, 477, 40, 781
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 477 is 3 x 3 x 53
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 781 is 11 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(816, 477) = 129744
GCD(816, 477) = ( 816 x 477 ) / 129744
GCD(816, 477) = 389232 / 129744
GCD(816, 477) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 40) = 120
GCD(3, 40) = ( 3 x 40 ) / 120
GCD(3, 40) = 120 / 120
GCD(3, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 781
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 781) = 781
GCD(1, 781) = ( 1 x 781 ) / 781
GCD(1, 781) = 781 / 781
GCD(1, 781) = 1
GCD of 816, 477, 40, 781 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 816, 477, 40, 781?
GCD of 816, 477, 40, 781 is 1
2. Where do I get the detailed procedure to find GCD of 816, 477, 40, 781?
You can find a detailed procedure to find GCD of 816, 477, 40, 781 on our page.
3. How to find GCD of 816, 477, 40, 781 on a calculator?
You can find the GCD of 816, 477, 40, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.