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 306, 730, 117 i.e. 1 largest integer that divides all the numbers equally.
GCD of 306, 730, 117 is 1
GCD(306, 730, 117) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 306, 730, 117 is 1
GCD(306, 730, 117) = 1
Given Input numbers are 306, 730, 117
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
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 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Greatest Common Divisior
We found the divisors of 306, 730, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 730, 117 is 1.
Therefore, GCD of numbers 306, 730, 117 is 1
Given Input Data is 306, 730, 117
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 117 is 3 x 3 x 13
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(306, 730) = 111690
GCD(306, 730) = ( 306 x 730 ) / 111690
GCD(306, 730) = 223380 / 111690
GCD(306, 730) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 117) = 234
GCD(2, 117) = ( 2 x 117 ) / 234
GCD(2, 117) = 234 / 234
GCD(2, 117) = 1
GCD of 306, 730, 117 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 306, 730, 117?
GCD of 306, 730, 117 is 1
2. Where do I get the detailed procedure to find GCD of 306, 730, 117?
You can find a detailed procedure to find GCD of 306, 730, 117 on our page.
3. How to find GCD of 306, 730, 117 on a calculator?
You can find the GCD of 306, 730, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.