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, 963, 900, 230 i.e. 1 largest integer that divides all the numbers equally.
GCD of 310, 963, 900, 230 is 1
GCD(310, 963, 900, 230) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 310, 963, 900, 230 is 1
GCD(310, 963, 900, 230) = 1
Given Input numbers are 310, 963, 900, 230
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 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Greatest Common Divisior
We found the divisors of 310, 963, 900, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 963, 900, 230 is 1.
Therefore, GCD of numbers 310, 963, 900, 230 is 1
Given Input Data is 310, 963, 900, 230
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 963 is 3 x 3 x 107
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 230 is 2 x 5 x 23
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, 963) = 298530
GCD(310, 963) = ( 310 x 963 ) / 298530
GCD(310, 963) = 298530 / 298530
GCD(310, 963) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
GCD(1, 900) = 900 / 900
GCD(1, 900) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 230
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 230) = 230
GCD(1, 230) = ( 1 x 230 ) / 230
GCD(1, 230) = 230 / 230
GCD(1, 230) = 1
GCD of 310, 963, 900, 230 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 310, 963, 900, 230?
GCD of 310, 963, 900, 230 is 1
2. Where do I get the detailed procedure to find GCD of 310, 963, 900, 230?
You can find a detailed procedure to find GCD of 310, 963, 900, 230 on our page.
3. How to find GCD of 310, 963, 900, 230 on a calculator?
You can find the GCD of 310, 963, 900, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.