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 963, 810, 255, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 963, 810, 255, 152 is 1
GCD(963, 810, 255, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 963, 810, 255, 152 is 1
GCD(963, 810, 255, 152) = 1
Given Input numbers are 963, 810, 255, 152
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
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 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 963, 810, 255, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 810, 255, 152 is 1.
Therefore, GCD of numbers 963, 810, 255, 152 is 1
Given Input Data is 963, 810, 255, 152
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 152 is 2 x 2 x 2 x 19
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(963, 810) = 86670
GCD(963, 810) = ( 963 x 810 ) / 86670
GCD(963, 810) = 780030 / 86670
GCD(963, 810) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 255) = 765
GCD(9, 255) = ( 9 x 255 ) / 765
GCD(9, 255) = 2295 / 765
GCD(9, 255) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 152) = 456
GCD(3, 152) = ( 3 x 152 ) / 456
GCD(3, 152) = 456 / 456
GCD(3, 152) = 1
GCD of 963, 810, 255, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 963, 810, 255, 152?
GCD of 963, 810, 255, 152 is 1
2. Where do I get the detailed procedure to find GCD of 963, 810, 255, 152?
You can find a detailed procedure to find GCD of 963, 810, 255, 152 on our page.
3. How to find GCD of 963, 810, 255, 152 on a calculator?
You can find the GCD of 963, 810, 255, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.