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 730, 758, 746, 329 i.e. 1 largest integer that divides all the numbers equally.
GCD of 730, 758, 746, 329 is 1
GCD(730, 758, 746, 329) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 758, 746, 329 is 1
GCD(730, 758, 746, 329) = 1
Given Input numbers are 730, 758, 746, 329
To find the GCD of numbers using factoring list out all the divisors of each number
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 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
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 730, 758, 746, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 758, 746, 329 is 1.
Therefore, GCD of numbers 730, 758, 746, 329 is 1
Given Input Data is 730, 758, 746, 329
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 758 is 2 x 379
Prime Factorization of 746 is 2 x 373
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(730, 758) = 276670
GCD(730, 758) = ( 730 x 758 ) / 276670
GCD(730, 758) = 553340 / 276670
GCD(730, 758) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 746) = 746
GCD(2, 746) = ( 2 x 746 ) / 746
GCD(2, 746) = 1492 / 746
GCD(2, 746) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 329) = 658
GCD(2, 329) = ( 2 x 329 ) / 658
GCD(2, 329) = 658 / 658
GCD(2, 329) = 1
GCD of 730, 758, 746, 329 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 758, 746, 329?
GCD of 730, 758, 746, 329 is 1
2. Where do I get the detailed procedure to find GCD of 730, 758, 746, 329?
You can find a detailed procedure to find GCD of 730, 758, 746, 329 on our page.
3. How to find GCD of 730, 758, 746, 329 on a calculator?
You can find the GCD of 730, 758, 746, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.