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 777, 435, 988, 965 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 435, 988, 965 is 1
GCD(777, 435, 988, 965) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 435, 988, 965 is 1
GCD(777, 435, 988, 965) = 1
Given Input numbers are 777, 435, 988, 965
To find the GCD of numbers using factoring list out all the divisors of each number
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 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Greatest Common Divisior
We found the divisors of 777, 435, 988, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 435, 988, 965 is 1.
Therefore, GCD of numbers 777, 435, 988, 965 is 1
Given Input Data is 777, 435, 988, 965
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 965 is 5 x 193
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(777, 435) = 112665
GCD(777, 435) = ( 777 x 435 ) / 112665
GCD(777, 435) = 337995 / 112665
GCD(777, 435) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 988) = 2964
GCD(3, 988) = ( 3 x 988 ) / 2964
GCD(3, 988) = 2964 / 2964
GCD(3, 988) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 965) = 965
GCD(1, 965) = ( 1 x 965 ) / 965
GCD(1, 965) = 965 / 965
GCD(1, 965) = 1
GCD of 777, 435, 988, 965 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 435, 988, 965?
GCD of 777, 435, 988, 965 is 1
2. Where do I get the detailed procedure to find GCD of 777, 435, 988, 965?
You can find a detailed procedure to find GCD of 777, 435, 988, 965 on our page.
3. How to find GCD of 777, 435, 988, 965 on a calculator?
You can find the GCD of 777, 435, 988, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.