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 867, 729, 286, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 867, 729, 286, 763 is 1
GCD(867, 729, 286, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 867, 729, 286, 763 is 1
GCD(867, 729, 286, 763) = 1
Given Input numbers are 867, 729, 286, 763
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 867, 729, 286, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 729, 286, 763 is 1.
Therefore, GCD of numbers 867, 729, 286, 763 is 1
Given Input Data is 867, 729, 286, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 763 is 7 x 109
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(867, 729) = 210681
GCD(867, 729) = ( 867 x 729 ) / 210681
GCD(867, 729) = 632043 / 210681
GCD(867, 729) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 286
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 286) = 858
GCD(3, 286) = ( 3 x 286 ) / 858
GCD(3, 286) = 858 / 858
GCD(3, 286) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 763) = 763
GCD(1, 763) = ( 1 x 763 ) / 763
GCD(1, 763) = 763 / 763
GCD(1, 763) = 1
GCD of 867, 729, 286, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 867, 729, 286, 763?
GCD of 867, 729, 286, 763 is 1
2. Where do I get the detailed procedure to find GCD of 867, 729, 286, 763?
You can find a detailed procedure to find GCD of 867, 729, 286, 763 on our page.
3. How to find GCD of 867, 729, 286, 763 on a calculator?
You can find the GCD of 867, 729, 286, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.