GCD of 270, 240, 217 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 270, 240, 217 i.e. 1 largest integer that divides all the numbers equally.
GCD of 270, 240, 217 is 1
GCD(270, 240, 217) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 240, 217 is 1
GCD(270, 240, 217) = 1
GCDof 270,240,217 is 1
Given Input numbers are 270, 240, 217
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Greatest Common Divisior
We found the divisors of 270, 240, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 240, 217 is 1.
Therefore, GCD of numbers 270, 240, 217 is 1
Given Input Data is 270, 240, 217
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 217 is 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 270, 240, 217 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(270, 240) = 2160
GCD(270, 240) = ( 270 x 240 ) / 2160
GCD(270, 240) = 64800 / 2160
GCD(270, 240) = 30
Step2:
Here we consider the GCD from the above i.e. 30 as first number and the next as 217
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(30, 217) = 6510
GCD(30, 217) = ( 30 x 217 ) / 6510
GCD(30, 217) = 6510 / 6510
GCD(30, 217) = 1
GCD of 270, 240, 217 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 270, 240, 217
1. What is the GCD of 270, 240, 217?
GCD of 270, 240, 217 is 1
2. Where do I get the detailed procedure to find GCD of 270, 240, 217?
You can find a detailed procedure to find GCD of 270, 240, 217 on our page.
3. How to find GCD of 270, 240, 217 on a calculator?
You can find the GCD of 270, 240, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.