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 215, 320, 75, 230 i.e. 5 largest integer that divides all the numbers equally.
GCD of 215, 320, 75, 230 is 5
GCD(215, 320, 75, 230) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 215, 320, 75, 230 is 5
GCD(215, 320, 75, 230) = 5
Given Input numbers are 215, 320, 75, 230
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
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 215, 320, 75, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 320, 75, 230 is 5.
Therefore, GCD of numbers 215, 320, 75, 230 is 5
Given Input Data is 215, 320, 75, 230
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 215 is 5 x 43
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 230 is 2 x 5 x 23
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(215, 320) = 13760
GCD(215, 320) = ( 215 x 320 ) / 13760
GCD(215, 320) = 68800 / 13760
GCD(215, 320) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 75) = 75
GCD(5, 75) = ( 5 x 75 ) / 75
GCD(5, 75) = 375 / 75
GCD(5, 75) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 230
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 230) = 230
GCD(5, 230) = ( 5 x 230 ) / 230
GCD(5, 230) = 1150 / 230
GCD(5, 230) = 5
GCD of 215, 320, 75, 230 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 215, 320, 75, 230?
GCD of 215, 320, 75, 230 is 5
2. Where do I get the detailed procedure to find GCD of 215, 320, 75, 230?
You can find a detailed procedure to find GCD of 215, 320, 75, 230 on our page.
3. How to find GCD of 215, 320, 75, 230 on a calculator?
You can find the GCD of 215, 320, 75, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.