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 255, 342, 88 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 342, 88 is 1
GCD(255, 342, 88) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 342, 88 is 1
GCD(255, 342, 88) = 1
Given Input numbers are 255, 342, 88
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Greatest Common Divisior
We found the divisors of 255, 342, 88 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 342, 88 is 1.
Therefore, GCD of numbers 255, 342, 88 is 1
Given Input Data is 255, 342, 88
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 88 is 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
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(255, 342) = 29070
GCD(255, 342) = ( 255 x 342 ) / 29070
GCD(255, 342) = 87210 / 29070
GCD(255, 342) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 88) = 264
GCD(3, 88) = ( 3 x 88 ) / 264
GCD(3, 88) = 264 / 264
GCD(3, 88) = 1
GCD of 255, 342, 88 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 255, 342, 88?
GCD of 255, 342, 88 is 1
2. Where do I get the detailed procedure to find GCD of 255, 342, 88?
You can find a detailed procedure to find GCD of 255, 342, 88 on our page.
3. How to find GCD of 255, 342, 88 on a calculator?
You can find the GCD of 255, 342, 88 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.