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 710, 993, 40, 513 i.e. 1 largest integer that divides all the numbers equally.
GCD of 710, 993, 40, 513 is 1
GCD(710, 993, 40, 513) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 710, 993, 40, 513 is 1
GCD(710, 993, 40, 513) = 1
Given Input numbers are 710, 993, 40, 513
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
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 710, 993, 40, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 993, 40, 513 is 1.
Therefore, GCD of numbers 710, 993, 40, 513 is 1
Given Input Data is 710, 993, 40, 513
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 993 is 3 x 331
Prime Factorization of 40 is 2 x 2 x 2 x 5
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(710, 993) = 705030
GCD(710, 993) = ( 710 x 993 ) / 705030
GCD(710, 993) = 705030 / 705030
GCD(710, 993) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 513) = 513
GCD(1, 513) = ( 1 x 513 ) / 513
GCD(1, 513) = 513 / 513
GCD(1, 513) = 1
GCD of 710, 993, 40, 513 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 710, 993, 40, 513?
GCD of 710, 993, 40, 513 is 1
2. Where do I get the detailed procedure to find GCD of 710, 993, 40, 513?
You can find a detailed procedure to find GCD of 710, 993, 40, 513 on our page.
3. How to find GCD of 710, 993, 40, 513 on a calculator?
You can find the GCD of 710, 993, 40, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.