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 313, 953, 310, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 313, 953, 310, 959 is 1
GCD(313, 953, 310, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 313, 953, 310, 959 is 1
GCD(313, 953, 310, 959) = 1
Given Input numbers are 313, 953, 310, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
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 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 313, 953, 310, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 953, 310, 959 is 1.
Therefore, GCD of numbers 313, 953, 310, 959 is 1
Given Input Data is 313, 953, 310, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 313 is 313
Prime Factorization of 953 is 953
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 959 is 7 x 137
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(313, 953) = 298289
GCD(313, 953) = ( 313 x 953 ) / 298289
GCD(313, 953) = 298289 / 298289
GCD(313, 953) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
GCD(1, 310) = 310 / 310
GCD(1, 310) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
GCD of 313, 953, 310, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 313, 953, 310, 959?
GCD of 313, 953, 310, 959 is 1
2. Where do I get the detailed procedure to find GCD of 313, 953, 310, 959?
You can find a detailed procedure to find GCD of 313, 953, 310, 959 on our page.
3. How to find GCD of 313, 953, 310, 959 on a calculator?
You can find the GCD of 313, 953, 310, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.