GCD of 242, 264, 255 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 242, 264, 255 i.e. 1 largest integer that divides all the numbers equally.
GCD of 242, 264, 255 is 1
GCD(242, 264, 255) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 242, 264, 255 is 1
GCD(242, 264, 255) = 1
GCDof 242,264,255 is 1
Given Input numbers are 242, 264, 255
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Greatest Common Divisior
We found the divisors of 242, 264, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 264, 255 is 1.
Therefore, GCD of numbers 242, 264, 255 is 1
Given Input Data is 242, 264, 255
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 255 is 3 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 242, 264, 255 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(242, 264) = 2904
GCD(242, 264) = ( 242 x 264 ) / 2904
GCD(242, 264) = 63888 / 2904
GCD(242, 264) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 255) = 5610
GCD(22, 255) = ( 22 x 255 ) / 5610
GCD(22, 255) = 5610 / 5610
GCD(22, 255) = 1
GCD of 242, 264, 255 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 242, 264, 255
1. What is the GCD of 242, 264, 255?
GCD of 242, 264, 255 is 1
2. Where do I get the detailed procedure to find GCD of 242, 264, 255?
You can find a detailed procedure to find GCD of 242, 264, 255 on our page.
3. How to find GCD of 242, 264, 255 on a calculator?
You can find the GCD of 242, 264, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.