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 776, 404, 51, 787 i.e. 1 largest integer that divides all the numbers equally.
GCD of 776, 404, 51, 787 is 1
GCD(776, 404, 51, 787) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 776, 404, 51, 787 is 1
GCD(776, 404, 51, 787) = 1
Given Input numbers are 776, 404, 51, 787
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Greatest Common Divisior
We found the divisors of 776, 404, 51, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 404, 51, 787 is 1.
Therefore, GCD of numbers 776, 404, 51, 787 is 1
Given Input Data is 776, 404, 51, 787
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 51 is 3 x 17
Prime Factorization of 787 is 787
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(776, 404) = 78376
GCD(776, 404) = ( 776 x 404 ) / 78376
GCD(776, 404) = 313504 / 78376
GCD(776, 404) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 51) = 204
GCD(4, 51) = ( 4 x 51 ) / 204
GCD(4, 51) = 204 / 204
GCD(4, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
GCD(1, 787) = 787 / 787
GCD(1, 787) = 1
GCD of 776, 404, 51, 787 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 776, 404, 51, 787?
GCD of 776, 404, 51, 787 is 1
2. Where do I get the detailed procedure to find GCD of 776, 404, 51, 787?
You can find a detailed procedure to find GCD of 776, 404, 51, 787 on our page.
3. How to find GCD of 776, 404, 51, 787 on a calculator?
You can find the GCD of 776, 404, 51, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.