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, 802, 182, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 765, 802, 182, 113 is 1
GCD(765, 802, 182, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 765, 802, 182, 113 is 1
GCD(765, 802, 182, 113) = 1
Given Input numbers are 765, 802, 182, 113
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 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 765, 802, 182, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 802, 182, 113 is 1.
Therefore, GCD of numbers 765, 802, 182, 113 is 1
Given Input Data is 765, 802, 182, 113
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 802 is 2 x 401
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 113 is 113
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, 802) = 613530
GCD(765, 802) = ( 765 x 802 ) / 613530
GCD(765, 802) = 613530 / 613530
GCD(765, 802) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 182) = 182
GCD(1, 182) = ( 1 x 182 ) / 182
GCD(1, 182) = 182 / 182
GCD(1, 182) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
GCD of 765, 802, 182, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 765, 802, 182, 113?
GCD of 765, 802, 182, 113 is 1
2. Where do I get the detailed procedure to find GCD of 765, 802, 182, 113?
You can find a detailed procedure to find GCD of 765, 802, 182, 113 on our page.
3. How to find GCD of 765, 802, 182, 113 on a calculator?
You can find the GCD of 765, 802, 182, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.