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 774, 836, 435, 831 i.e. 1 largest integer that divides all the numbers equally.
GCD of 774, 836, 435, 831 is 1
GCD(774, 836, 435, 831) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 836, 435, 831 is 1
GCD(774, 836, 435, 831) = 1
Given Input numbers are 774, 836, 435, 831
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
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
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 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Greatest Common Divisior
We found the divisors of 774, 836, 435, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 836, 435, 831 is 1.
Therefore, GCD of numbers 774, 836, 435, 831 is 1
Given Input Data is 774, 836, 435, 831
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 831 is 3 x 277
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(774, 836) = 323532
GCD(774, 836) = ( 774 x 836 ) / 323532
GCD(774, 836) = 647064 / 323532
GCD(774, 836) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 435) = 870
GCD(2, 435) = ( 2 x 435 ) / 870
GCD(2, 435) = 870 / 870
GCD(2, 435) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
GCD(1, 831) = 831 / 831
GCD(1, 831) = 1
GCD of 774, 836, 435, 831 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 836, 435, 831?
GCD of 774, 836, 435, 831 is 1
2. Where do I get the detailed procedure to find GCD of 774, 836, 435, 831?
You can find a detailed procedure to find GCD of 774, 836, 435, 831 on our page.
3. How to find GCD of 774, 836, 435, 831 on a calculator?
You can find the GCD of 774, 836, 435, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.