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, 987, 89, 836 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 987, 89, 836 is 1
GCD(777, 987, 89, 836) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 987, 89, 836 is 1
GCD(777, 987, 89, 836) = 1
Given Input numbers are 777, 987, 89, 836
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 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Greatest Common Divisior
We found the divisors of 777, 987, 89, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 987, 89, 836 is 1.
Therefore, GCD of numbers 777, 987, 89, 836 is 1
Given Input Data is 777, 987, 89, 836
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 987 is 3 x 7 x 47
Prime Factorization of 89 is 89
Prime Factorization of 836 is 2 x 2 x 11 x 19
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, 987) = 36519
GCD(777, 987) = ( 777 x 987 ) / 36519
GCD(777, 987) = 766899 / 36519
GCD(777, 987) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 89) = 1869
GCD(21, 89) = ( 21 x 89 ) / 1869
GCD(21, 89) = 1869 / 1869
GCD(21, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 836
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 836) = 836
GCD(1, 836) = ( 1 x 836 ) / 836
GCD(1, 836) = 836 / 836
GCD(1, 836) = 1
GCD of 777, 987, 89, 836 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 987, 89, 836?
GCD of 777, 987, 89, 836 is 1
2. Where do I get the detailed procedure to find GCD of 777, 987, 89, 836?
You can find a detailed procedure to find GCD of 777, 987, 89, 836 on our page.
3. How to find GCD of 777, 987, 89, 836 on a calculator?
You can find the GCD of 777, 987, 89, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.