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, 235, 220 i.e. 5 largest integer that divides all the numbers equally.
GCD of 215, 235, 220 is 5
GCD(215, 235, 220) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 215, 235, 220 is 5
GCD(215, 235, 220) = 5
Given Input numbers are 215, 235, 220
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 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 215, 235, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 235, 220 is 5.
Therefore, GCD of numbers 215, 235, 220 is 5
Given Input Data is 215, 235, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 215 is 5 x 43
Prime Factorization of 235 is 5 x 47
Prime Factorization of 220 is 2 x 2 x 5 x 11
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, 235) = 10105
GCD(215, 235) = ( 215 x 235 ) / 10105
GCD(215, 235) = 50525 / 10105
GCD(215, 235) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 220) = 220
GCD(5, 220) = ( 5 x 220 ) / 220
GCD(5, 220) = 1100 / 220
GCD(5, 220) = 5
GCD of 215, 235, 220 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 215, 235, 220?
GCD of 215, 235, 220 is 5
2. Where do I get the detailed procedure to find GCD of 215, 235, 220?
You can find a detailed procedure to find GCD of 215, 235, 220 on our page.
3. How to find GCD of 215, 235, 220 on a calculator?
You can find the GCD of 215, 235, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.