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, 228, 339, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 228, 339, 385 is 1
GCD(777, 228, 339, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 228, 339, 385 is 1
GCD(777, 228, 339, 385) = 1
Given Input numbers are 777, 228, 339, 385
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 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 777, 228, 339, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 228, 339, 385 is 1.
Therefore, GCD of numbers 777, 228, 339, 385 is 1
Given Input Data is 777, 228, 339, 385
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 228 is 2 x 2 x 3 x 19
Prime Factorization of 339 is 3 x 113
Prime Factorization of 385 is 5 x 7 x 11
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, 228) = 59052
GCD(777, 228) = ( 777 x 228 ) / 59052
GCD(777, 228) = 177156 / 59052
GCD(777, 228) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 339) = 339
GCD(3, 339) = ( 3 x 339 ) / 339
GCD(3, 339) = 1017 / 339
GCD(3, 339) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 385) = 1155
GCD(3, 385) = ( 3 x 385 ) / 1155
GCD(3, 385) = 1155 / 1155
GCD(3, 385) = 1
GCD of 777, 228, 339, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 228, 339, 385?
GCD of 777, 228, 339, 385 is 1
2. Where do I get the detailed procedure to find GCD of 777, 228, 339, 385?
You can find a detailed procedure to find GCD of 777, 228, 339, 385 on our page.
3. How to find GCD of 777, 228, 339, 385 on a calculator?
You can find the GCD of 777, 228, 339, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.