GCD of 270, 117, 296 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, 117, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 270, 117, 296 is 1
GCD(270, 117, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 117, 296 is 1
GCD(270, 117, 296) = 1
GCDof 270,117,296 is 1
Given Input numbers are 270, 117, 296
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 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Greatest Common Divisior
We found the divisors of 270, 117, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 117, 296 is 1.
Therefore, GCD of numbers 270, 117, 296 is 1
Given Input Data is 270, 117, 296
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 117 is 3 x 3 x 13
Prime Factorization of 296 is 2 x 2 x 2 x 37
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 270, 117, 296 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, 117) = 3510
GCD(270, 117) = ( 270 x 117 ) / 3510
GCD(270, 117) = 31590 / 3510
GCD(270, 117) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 296) = 2664
GCD(9, 296) = ( 9 x 296 ) / 2664
GCD(9, 296) = 2664 / 2664
GCD(9, 296) = 1
GCD of 270, 117, 296 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 270, 117, 296
1. What is the GCD of 270, 117, 296?
GCD of 270, 117, 296 is 1
2. Where do I get the detailed procedure to find GCD of 270, 117, 296?
You can find a detailed procedure to find GCD of 270, 117, 296 on our page.
3. How to find GCD of 270, 117, 296 on a calculator?
You can find the GCD of 270, 117, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.