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 765, 164, 650, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 765, 164, 650, 728 is 1
GCD(765, 164, 650, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 765, 164, 650, 728 is 1
GCD(765, 164, 650, 728) = 1
Given Input numbers are 765, 164, 650, 728
To find the GCD of numbers using factoring list out all the divisors of each number
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 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Greatest Common Divisior
We found the divisors of 765, 164, 650, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 164, 650, 728 is 1.
Therefore, GCD of numbers 765, 164, 650, 728 is 1
Given Input Data is 765, 164, 650, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
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(765, 164) = 125460
GCD(765, 164) = ( 765 x 164 ) / 125460
GCD(765, 164) = 125460 / 125460
GCD(765, 164) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 650) = 650
GCD(1, 650) = ( 1 x 650 ) / 650
GCD(1, 650) = 650 / 650
GCD(1, 650) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
GCD of 765, 164, 650, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 765, 164, 650, 728?
GCD of 765, 164, 650, 728 is 1
2. Where do I get the detailed procedure to find GCD of 765, 164, 650, 728?
You can find a detailed procedure to find GCD of 765, 164, 650, 728 on our page.
3. How to find GCD of 765, 164, 650, 728 on a calculator?
You can find the GCD of 765, 164, 650, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.