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, 729, 114, 202 i.e. 1 largest integer that divides all the numbers equally.
GCD of 774, 729, 114, 202 is 1
GCD(774, 729, 114, 202) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 729, 114, 202 is 1
GCD(774, 729, 114, 202) = 1
Given Input numbers are 774, 729, 114, 202
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 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Greatest Common Divisior
We found the divisors of 774, 729, 114, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 729, 114, 202 is 1.
Therefore, GCD of numbers 774, 729, 114, 202 is 1
Given Input Data is 774, 729, 114, 202
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 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 202 is 2 x 101
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, 729) = 62694
GCD(774, 729) = ( 774 x 729 ) / 62694
GCD(774, 729) = 564246 / 62694
GCD(774, 729) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 114) = 342
GCD(9, 114) = ( 9 x 114 ) / 342
GCD(9, 114) = 1026 / 342
GCD(9, 114) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 202) = 606
GCD(3, 202) = ( 3 x 202 ) / 606
GCD(3, 202) = 606 / 606
GCD(3, 202) = 1
GCD of 774, 729, 114, 202 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 729, 114, 202?
GCD of 774, 729, 114, 202 is 1
2. Where do I get the detailed procedure to find GCD of 774, 729, 114, 202?
You can find a detailed procedure to find GCD of 774, 729, 114, 202 on our page.
3. How to find GCD of 774, 729, 114, 202 on a calculator?
You can find the GCD of 774, 729, 114, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.