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, 189, 702, 263 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 189, 702, 263 is 1
GCD(255, 189, 702, 263) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 189, 702, 263 is 1
GCD(255, 189, 702, 263) = 1
Given Input numbers are 255, 189, 702, 263
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 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Greatest Common Divisior
We found the divisors of 255, 189, 702, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 189, 702, 263 is 1.
Therefore, GCD of numbers 255, 189, 702, 263 is 1
Given Input Data is 255, 189, 702, 263
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 189 is 3 x 3 x 3 x 7
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 263 is 263
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, 189) = 16065
GCD(255, 189) = ( 255 x 189 ) / 16065
GCD(255, 189) = 48195 / 16065
GCD(255, 189) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 702) = 702
GCD(3, 702) = ( 3 x 702 ) / 702
GCD(3, 702) = 2106 / 702
GCD(3, 702) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 263) = 789
GCD(3, 263) = ( 3 x 263 ) / 789
GCD(3, 263) = 789 / 789
GCD(3, 263) = 1
GCD of 255, 189, 702, 263 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 255, 189, 702, 263?
GCD of 255, 189, 702, 263 is 1
2. Where do I get the detailed procedure to find GCD of 255, 189, 702, 263?
You can find a detailed procedure to find GCD of 255, 189, 702, 263 on our page.
3. How to find GCD of 255, 189, 702, 263 on a calculator?
You can find the GCD of 255, 189, 702, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.