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 230, 604, 909, 962 i.e. 1 largest integer that divides all the numbers equally.
GCD of 230, 604, 909, 962 is 1
GCD(230, 604, 909, 962) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 230, 604, 909, 962 is 1
GCD(230, 604, 909, 962) = 1
Given Input numbers are 230, 604, 909, 962
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Greatest Common Divisior
We found the divisors of 230, 604, 909, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 604, 909, 962 is 1.
Therefore, GCD of numbers 230, 604, 909, 962 is 1
Given Input Data is 230, 604, 909, 962
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 962 is 2 x 13 x 37
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(230, 604) = 69460
GCD(230, 604) = ( 230 x 604 ) / 69460
GCD(230, 604) = 138920 / 69460
GCD(230, 604) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 909) = 1818
GCD(2, 909) = ( 2 x 909 ) / 1818
GCD(2, 909) = 1818 / 1818
GCD(2, 909) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
GCD(1, 962) = 962 / 962
GCD(1, 962) = 1
GCD of 230, 604, 909, 962 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 230, 604, 909, 962?
GCD of 230, 604, 909, 962 is 1
2. Where do I get the detailed procedure to find GCD of 230, 604, 909, 962?
You can find a detailed procedure to find GCD of 230, 604, 909, 962 on our page.
3. How to find GCD of 230, 604, 909, 962 on a calculator?
You can find the GCD of 230, 604, 909, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.