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, 126, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 730, 126, 993 is 1
GCD(730, 126, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 126, 993 is 1
GCD(730, 126, 993) = 1
Given Input numbers are 730, 126, 993
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 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Greatest Common Divisior
We found the divisors of 730, 126, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 126, 993 is 1.
Therefore, GCD of numbers 730, 126, 993 is 1
Given Input Data is 730, 126, 993
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 126 is 2 x 3 x 3 x 7
Prime Factorization of 993 is 3 x 331
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, 126) = 45990
GCD(730, 126) = ( 730 x 126 ) / 45990
GCD(730, 126) = 91980 / 45990
GCD(730, 126) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 993) = 1986
GCD(2, 993) = ( 2 x 993 ) / 1986
GCD(2, 993) = 1986 / 1986
GCD(2, 993) = 1
GCD of 730, 126, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 126, 993?
GCD of 730, 126, 993 is 1
2. Where do I get the detailed procedure to find GCD of 730, 126, 993?
You can find a detailed procedure to find GCD of 730, 126, 993 on our page.
3. How to find GCD of 730, 126, 993 on a calculator?
You can find the GCD of 730, 126, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.