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, 220, 276 i.e. 2 largest integer that divides all the numbers equally.
GCD of 270, 220, 276 is 2
GCD(270, 220, 276) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 220, 276 is 2
GCD(270, 220, 276) = 2
Given Input numbers are 270, 220, 276
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 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
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Greatest Common Divisior
We found the divisors of 270, 220, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 220, 276 is 2.
Therefore, GCD of numbers 270, 220, 276 is 2
Given Input Data is 270, 220, 276
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 220 is 2 x 2 x 5 x 11
Prime Factorization of 276 is 2 x 2 x 3 x 23
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 220) = 5940
GCD(270, 220) = ( 270 x 220 ) / 5940
GCD(270, 220) = 59400 / 5940
GCD(270, 220) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 276) = 1380
GCD(10, 276) = ( 10 x 276 ) / 1380
GCD(10, 276) = 2760 / 1380
GCD(10, 276) = 2
GCD of 270, 220, 276 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 270, 220, 276?
GCD of 270, 220, 276 is 2
2. Where do I get the detailed procedure to find GCD of 270, 220, 276?
You can find a detailed procedure to find GCD of 270, 220, 276 on our page.
3. How to find GCD of 270, 220, 276 on a calculator?
You can find the GCD of 270, 220, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.