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 810, 775, 765, 648 i.e. 1 largest integer that divides all the numbers equally.
GCD of 810, 775, 765, 648 is 1
GCD(810, 775, 765, 648) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 810, 775, 765, 648 is 1
GCD(810, 775, 765, 648) = 1
Given Input numbers are 810, 775, 765, 648
To find the GCD of numbers using factoring list out all the divisors of each number
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 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Greatest Common Divisior
We found the divisors of 810, 775, 765, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 775, 765, 648 is 1.
Therefore, GCD of numbers 810, 775, 765, 648 is 1
Given Input Data is 810, 775, 765, 648
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
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(810, 775) = 125550
GCD(810, 775) = ( 810 x 775 ) / 125550
GCD(810, 775) = 627750 / 125550
GCD(810, 775) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 765) = 765
GCD(5, 765) = ( 5 x 765 ) / 765
GCD(5, 765) = 3825 / 765
GCD(5, 765) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 648) = 3240
GCD(5, 648) = ( 5 x 648 ) / 3240
GCD(5, 648) = 3240 / 3240
GCD(5, 648) = 1
GCD of 810, 775, 765, 648 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 810, 775, 765, 648?
GCD of 810, 775, 765, 648 is 1
2. Where do I get the detailed procedure to find GCD of 810, 775, 765, 648?
You can find a detailed procedure to find GCD of 810, 775, 765, 648 on our page.
3. How to find GCD of 810, 775, 765, 648 on a calculator?
You can find the GCD of 810, 775, 765, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.