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, 351, 71, 819 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 351, 71, 819 is 1
GCD(777, 351, 71, 819) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 351, 71, 819 is 1
GCD(777, 351, 71, 819) = 1
Given Input numbers are 777, 351, 71, 819
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 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Greatest Common Divisior
We found the divisors of 777, 351, 71, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 351, 71, 819 is 1.
Therefore, GCD of numbers 777, 351, 71, 819 is 1
Given Input Data is 777, 351, 71, 819
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 351 is 3 x 3 x 3 x 13
Prime Factorization of 71 is 71
Prime Factorization of 819 is 3 x 3 x 7 x 13
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, 351) = 90909
GCD(777, 351) = ( 777 x 351 ) / 90909
GCD(777, 351) = 272727 / 90909
GCD(777, 351) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 71) = 213
GCD(3, 71) = ( 3 x 71 ) / 213
GCD(3, 71) = 213 / 213
GCD(3, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 819
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 819) = 819
GCD(1, 819) = ( 1 x 819 ) / 819
GCD(1, 819) = 819 / 819
GCD(1, 819) = 1
GCD of 777, 351, 71, 819 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 351, 71, 819?
GCD of 777, 351, 71, 819 is 1
2. Where do I get the detailed procedure to find GCD of 777, 351, 71, 819?
You can find a detailed procedure to find GCD of 777, 351, 71, 819 on our page.
3. How to find GCD of 777, 351, 71, 819 on a calculator?
You can find the GCD of 777, 351, 71, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.