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, 502, 73, 843 i.e. 1 largest integer that divides all the numbers equally.
GCD of 774, 502, 73, 843 is 1
GCD(774, 502, 73, 843) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 502, 73, 843 is 1
GCD(774, 502, 73, 843) = 1
Given Input numbers are 774, 502, 73, 843
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 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Greatest Common Divisior
We found the divisors of 774, 502, 73, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 502, 73, 843 is 1.
Therefore, GCD of numbers 774, 502, 73, 843 is 1
Given Input Data is 774, 502, 73, 843
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 502 is 2 x 251
Prime Factorization of 73 is 73
Prime Factorization of 843 is 3 x 281
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, 502) = 194274
GCD(774, 502) = ( 774 x 502 ) / 194274
GCD(774, 502) = 388548 / 194274
GCD(774, 502) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 843) = 843
GCD(1, 843) = ( 1 x 843 ) / 843
GCD(1, 843) = 843 / 843
GCD(1, 843) = 1
GCD of 774, 502, 73, 843 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 502, 73, 843?
GCD of 774, 502, 73, 843 is 1
2. Where do I get the detailed procedure to find GCD of 774, 502, 73, 843?
You can find a detailed procedure to find GCD of 774, 502, 73, 843 on our page.
3. How to find GCD of 774, 502, 73, 843 on a calculator?
You can find the GCD of 774, 502, 73, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.