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, 969, 13, 312 i.e. 1 largest integer that divides all the numbers equally.
GCD of 710, 969, 13, 312 is 1
GCD(710, 969, 13, 312) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 710, 969, 13, 312 is 1
GCD(710, 969, 13, 312) = 1
Given Input numbers are 710, 969, 13, 312
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 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Greatest Common Divisior
We found the divisors of 710, 969, 13, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 969, 13, 312 is 1.
Therefore, GCD of numbers 710, 969, 13, 312 is 1
Given Input Data is 710, 969, 13, 312
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 969 is 3 x 17 x 19
Prime Factorization of 13 is 13
Prime Factorization of 312 is 2 x 2 x 2 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(710, 969) = 687990
GCD(710, 969) = ( 710 x 969 ) / 687990
GCD(710, 969) = 687990 / 687990
GCD(710, 969) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
GCD of 710, 969, 13, 312 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 710, 969, 13, 312?
GCD of 710, 969, 13, 312 is 1
2. Where do I get the detailed procedure to find GCD of 710, 969, 13, 312?
You can find a detailed procedure to find GCD of 710, 969, 13, 312 on our page.
3. How to find GCD of 710, 969, 13, 312 on a calculator?
You can find the GCD of 710, 969, 13, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.