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 310, 706, 513 i.e. 1 largest integer that divides all the numbers equally.
GCD of 310, 706, 513 is 1
GCD(310, 706, 513) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 310, 706, 513 is 1
GCD(310, 706, 513) = 1
Given Input numbers are 310, 706, 513
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Greatest Common Divisior
We found the divisors of 310, 706, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 706, 513 is 1.
Therefore, GCD of numbers 310, 706, 513 is 1
Given Input Data is 310, 706, 513
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 706 is 2 x 353
Prime Factorization of 513 is 3 x 3 x 3 x 19
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(310, 706) = 109430
GCD(310, 706) = ( 310 x 706 ) / 109430
GCD(310, 706) = 218860 / 109430
GCD(310, 706) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 513) = 1026
GCD(2, 513) = ( 2 x 513 ) / 1026
GCD(2, 513) = 1026 / 1026
GCD(2, 513) = 1
GCD of 310, 706, 513 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 310, 706, 513?
GCD of 310, 706, 513 is 1
2. Where do I get the detailed procedure to find GCD of 310, 706, 513?
You can find a detailed procedure to find GCD of 310, 706, 513 on our page.
3. How to find GCD of 310, 706, 513 on a calculator?
You can find the GCD of 310, 706, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.