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 783, 738, 68, 329 i.e. 1 largest integer that divides all the numbers equally.
GCD of 783, 738, 68, 329 is 1
GCD(783, 738, 68, 329) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 783, 738, 68, 329 is 1
GCD(783, 738, 68, 329) = 1
Given Input numbers are 783, 738, 68, 329
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
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 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Greatest Common Divisior
We found the divisors of 783, 738, 68, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 738, 68, 329 is 1.
Therefore, GCD of numbers 783, 738, 68, 329 is 1
Given Input Data is 783, 738, 68, 329
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 329 is 7 x 47
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(783, 738) = 64206
GCD(783, 738) = ( 783 x 738 ) / 64206
GCD(783, 738) = 577854 / 64206
GCD(783, 738) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 68) = 612
GCD(9, 68) = ( 9 x 68 ) / 612
GCD(9, 68) = 612 / 612
GCD(9, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
GCD of 783, 738, 68, 329 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 783, 738, 68, 329?
GCD of 783, 738, 68, 329 is 1
2. Where do I get the detailed procedure to find GCD of 783, 738, 68, 329?
You can find a detailed procedure to find GCD of 783, 738, 68, 329 on our page.
3. How to find GCD of 783, 738, 68, 329 on a calculator?
You can find the GCD of 783, 738, 68, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.