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 983, 935, 11, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 983, 935, 11, 777 is 1
GCD(983, 935, 11, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 983, 935, 11, 777 is 1
GCD(983, 935, 11, 777) = 1
Given Input numbers are 983, 935, 11, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 983, 935, 11, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 935, 11, 777 is 1.
Therefore, GCD of numbers 983, 935, 11, 777 is 1
Given Input Data is 983, 935, 11, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 983 is 983
Prime Factorization of 935 is 5 x 11 x 17
Prime Factorization of 11 is 11
Prime Factorization of 777 is 3 x 7 x 37
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(983, 935) = 919105
GCD(983, 935) = ( 983 x 935 ) / 919105
GCD(983, 935) = 919105 / 919105
GCD(983, 935) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 983, 935, 11, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 983, 935, 11, 777?
GCD of 983, 935, 11, 777 is 1
2. Where do I get the detailed procedure to find GCD of 983, 935, 11, 777?
You can find a detailed procedure to find GCD of 983, 935, 11, 777 on our page.
3. How to find GCD of 983, 935, 11, 777 on a calculator?
You can find the GCD of 983, 935, 11, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.