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, 528, 90, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 528, 90, 767 is 1
GCD(255, 528, 90, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 528, 90, 767 is 1
GCD(255, 528, 90, 767) = 1
Given Input numbers are 255, 528, 90, 767
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 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 255, 528, 90, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 528, 90, 767 is 1.
Therefore, GCD of numbers 255, 528, 90, 767 is 1
Given Input Data is 255, 528, 90, 767
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 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 767 is 13 x 59
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, 528) = 44880
GCD(255, 528) = ( 255 x 528 ) / 44880
GCD(255, 528) = 134640 / 44880
GCD(255, 528) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 90) = 90
GCD(3, 90) = ( 3 x 90 ) / 90
GCD(3, 90) = 270 / 90
GCD(3, 90) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 767) = 2301
GCD(3, 767) = ( 3 x 767 ) / 2301
GCD(3, 767) = 2301 / 2301
GCD(3, 767) = 1
GCD of 255, 528, 90, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 255, 528, 90, 767?
GCD of 255, 528, 90, 767 is 1
2. Where do I get the detailed procedure to find GCD of 255, 528, 90, 767?
You can find a detailed procedure to find GCD of 255, 528, 90, 767 on our page.
3. How to find GCD of 255, 528, 90, 767 on a calculator?
You can find the GCD of 255, 528, 90, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.