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 378, 273, 81, 779 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 273, 81, 779 is 1
GCD(378, 273, 81, 779) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 273, 81, 779 is 1
GCD(378, 273, 81, 779) = 1
Given Input numbers are 378, 273, 81, 779
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Greatest Common Divisior
We found the divisors of 378, 273, 81, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 273, 81, 779 is 1.
Therefore, GCD of numbers 378, 273, 81, 779 is 1
Given Input Data is 378, 273, 81, 779
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 779 is 19 x 41
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(378, 273) = 4914
GCD(378, 273) = ( 378 x 273 ) / 4914
GCD(378, 273) = 103194 / 4914
GCD(378, 273) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 81) = 567
GCD(21, 81) = ( 21 x 81 ) / 567
GCD(21, 81) = 1701 / 567
GCD(21, 81) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 779) = 2337
GCD(3, 779) = ( 3 x 779 ) / 2337
GCD(3, 779) = 2337 / 2337
GCD(3, 779) = 1
GCD of 378, 273, 81, 779 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 273, 81, 779?
GCD of 378, 273, 81, 779 is 1
2. Where do I get the detailed procedure to find GCD of 378, 273, 81, 779?
You can find a detailed procedure to find GCD of 378, 273, 81, 779 on our page.
3. How to find GCD of 378, 273, 81, 779 on a calculator?
You can find the GCD of 378, 273, 81, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.