GCD of 255, 135, 676 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 255, 135, 676 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 135, 676 is 1
GCD(255, 135, 676) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 135, 676 is 1
GCD(255, 135, 676) = 1
GCDof 255,135,676 is 1
Given Input numbers are 255, 135, 676
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 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Greatest Common Divisior
We found the divisors of 255, 135, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 135, 676 is 1.
Therefore, GCD of numbers 255, 135, 676 is 1
Given Input Data is 255, 135, 676
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 135 is 3 x 3 x 3 x 5
Prime Factorization of 676 is 2 x 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 255, 135, 676 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(255, 135) = 2295
GCD(255, 135) = ( 255 x 135 ) / 2295
GCD(255, 135) = 34425 / 2295
GCD(255, 135) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 676) = 10140
GCD(15, 676) = ( 15 x 676 ) / 10140
GCD(15, 676) = 10140 / 10140
GCD(15, 676) = 1
GCD of 255, 135, 676 is 1
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FAQs on GCD of numbers 255, 135, 676
1. What is the GCD of 255, 135, 676?
GCD of 255, 135, 676 is 1
2. Where do I get the detailed procedure to find GCD of 255, 135, 676?
You can find a detailed procedure to find GCD of 255, 135, 676 on our page.
3. How to find GCD of 255, 135, 676 on a calculator?
You can find the GCD of 255, 135, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.