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, 879, 90, 685 i.e. 1 largest integer that divides all the numbers equally.
GCD of 765, 879, 90, 685 is 1
GCD(765, 879, 90, 685) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 765, 879, 90, 685 is 1
GCD(765, 879, 90, 685) = 1
Given Input numbers are 765, 879, 90, 685
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 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
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 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Greatest Common Divisior
We found the divisors of 765, 879, 90, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 879, 90, 685 is 1.
Therefore, GCD of numbers 765, 879, 90, 685 is 1
Given Input Data is 765, 879, 90, 685
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 879 is 3 x 293
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 685 is 5 x 137
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, 879) = 224145
GCD(765, 879) = ( 765 x 879 ) / 224145
GCD(765, 879) = 672435 / 224145
GCD(765, 879) = 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 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 685) = 2055
GCD(3, 685) = ( 3 x 685 ) / 2055
GCD(3, 685) = 2055 / 2055
GCD(3, 685) = 1
GCD of 765, 879, 90, 685 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 765, 879, 90, 685?
GCD of 765, 879, 90, 685 is 1
2. Where do I get the detailed procedure to find GCD of 765, 879, 90, 685?
You can find a detailed procedure to find GCD of 765, 879, 90, 685 on our page.
3. How to find GCD of 765, 879, 90, 685 on a calculator?
You can find the GCD of 765, 879, 90, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.