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, 224, 91, 318 i.e. 1 largest integer that divides all the numbers equally.
GCD of 230, 224, 91, 318 is 1
GCD(230, 224, 91, 318) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 230, 224, 91, 318 is 1
GCD(230, 224, 91, 318) = 1
Given Input numbers are 230, 224, 91, 318
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 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Greatest Common Divisior
We found the divisors of 230, 224, 91, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 224, 91, 318 is 1.
Therefore, GCD of numbers 230, 224, 91, 318 is 1
Given Input Data is 230, 224, 91, 318
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 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 91 is 7 x 13
Prime Factorization of 318 is 2 x 3 x 53
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, 224) = 25760
GCD(230, 224) = ( 230 x 224 ) / 25760
GCD(230, 224) = 51520 / 25760
GCD(230, 224) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 91) = 182
GCD(2, 91) = ( 2 x 91 ) / 182
GCD(2, 91) = 182 / 182
GCD(2, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
GCD of 230, 224, 91, 318 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 230, 224, 91, 318?
GCD of 230, 224, 91, 318 is 1
2. Where do I get the detailed procedure to find GCD of 230, 224, 91, 318?
You can find a detailed procedure to find GCD of 230, 224, 91, 318 on our page.
3. How to find GCD of 230, 224, 91, 318 on a calculator?
You can find the GCD of 230, 224, 91, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.