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, 728, 252, 601 i.e. 1 largest integer that divides all the numbers equally.
GCD of 765, 728, 252, 601 is 1
GCD(765, 728, 252, 601) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 765, 728, 252, 601 is 1
GCD(765, 728, 252, 601) = 1
Given Input numbers are 765, 728, 252, 601
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 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
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Greatest Common Divisior
We found the divisors of 765, 728, 252, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 728, 252, 601 is 1.
Therefore, GCD of numbers 765, 728, 252, 601 is 1
Given Input Data is 765, 728, 252, 601
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 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 601 is 601
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, 728) = 556920
GCD(765, 728) = ( 765 x 728 ) / 556920
GCD(765, 728) = 556920 / 556920
GCD(765, 728) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
GCD(1, 252) = 252 / 252
GCD(1, 252) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 601) = 601
GCD(1, 601) = ( 1 x 601 ) / 601
GCD(1, 601) = 601 / 601
GCD(1, 601) = 1
GCD of 765, 728, 252, 601 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 765, 728, 252, 601?
GCD of 765, 728, 252, 601 is 1
2. Where do I get the detailed procedure to find GCD of 765, 728, 252, 601?
You can find a detailed procedure to find GCD of 765, 728, 252, 601 on our page.
3. How to find GCD of 765, 728, 252, 601 on a calculator?
You can find the GCD of 765, 728, 252, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.