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 738, 730, 27, 393 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 730, 27, 393 is 1
GCD(738, 730, 27, 393) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 730, 27, 393 is 1
GCD(738, 730, 27, 393) = 1
Given Input numbers are 738, 730, 27, 393
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Greatest Common Divisior
We found the divisors of 738, 730, 27, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 730, 27, 393 is 1.
Therefore, GCD of numbers 738, 730, 27, 393 is 1
Given Input Data is 738, 730, 27, 393
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 393 is 3 x 131
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(738, 730) = 269370
GCD(738, 730) = ( 738 x 730 ) / 269370
GCD(738, 730) = 538740 / 269370
GCD(738, 730) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 27) = 54
GCD(2, 27) = ( 2 x 27 ) / 54
GCD(2, 27) = 54 / 54
GCD(2, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 393) = 393
GCD(1, 393) = ( 1 x 393 ) / 393
GCD(1, 393) = 393 / 393
GCD(1, 393) = 1
GCD of 738, 730, 27, 393 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 730, 27, 393?
GCD of 738, 730, 27, 393 is 1
2. Where do I get the detailed procedure to find GCD of 738, 730, 27, 393?
You can find a detailed procedure to find GCD of 738, 730, 27, 393 on our page.
3. How to find GCD of 738, 730, 27, 393 on a calculator?
You can find the GCD of 738, 730, 27, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.