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 788, 777, 45, 976 i.e. 1 largest integer that divides all the numbers equally.
GCD of 788, 777, 45, 976 is 1
GCD(788, 777, 45, 976) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 788, 777, 45, 976 is 1
GCD(788, 777, 45, 976) = 1
Given Input numbers are 788, 777, 45, 976
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Greatest Common Divisior
We found the divisors of 788, 777, 45, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 777, 45, 976 is 1.
Therefore, GCD of numbers 788, 777, 45, 976 is 1
Given Input Data is 788, 777, 45, 976
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
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(788, 777) = 612276
GCD(788, 777) = ( 788 x 777 ) / 612276
GCD(788, 777) = 612276 / 612276
GCD(788, 777) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 976) = 976
GCD(1, 976) = ( 1 x 976 ) / 976
GCD(1, 976) = 976 / 976
GCD(1, 976) = 1
GCD of 788, 777, 45, 976 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 788, 777, 45, 976?
GCD of 788, 777, 45, 976 is 1
2. Where do I get the detailed procedure to find GCD of 788, 777, 45, 976?
You can find a detailed procedure to find GCD of 788, 777, 45, 976 on our page.
3. How to find GCD of 788, 777, 45, 976 on a calculator?
You can find the GCD of 788, 777, 45, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.