GCD of 215, 235, 220 Calculator

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

GCD of numbers 215, 235, 220 is 5

GCD(215, 235, 220) = 5

GCD of 215,235,220 Calculator

GCDof 215,235,220 is 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

Finding GCD of 215, 235, 220 using Prime Factorization

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

Finding GCD of 215, 235, 220 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 215, 235, 220

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.