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 105, 711, 836, 865 i.e. 1 largest integer that divides all the numbers equally.
GCD of 105, 711, 836, 865 is 1
GCD(105, 711, 836, 865) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 105, 711, 836, 865 is 1
GCD(105, 711, 836, 865) = 1
Given Input numbers are 105, 711, 836, 865
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Greatest Common Divisior
We found the divisors of 105, 711, 836, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 711, 836, 865 is 1.
Therefore, GCD of numbers 105, 711, 836, 865 is 1
Given Input Data is 105, 711, 836, 865
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 865 is 5 x 173
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(105, 711) = 24885
GCD(105, 711) = ( 105 x 711 ) / 24885
GCD(105, 711) = 74655 / 24885
GCD(105, 711) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 836
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 836) = 2508
GCD(3, 836) = ( 3 x 836 ) / 2508
GCD(3, 836) = 2508 / 2508
GCD(3, 836) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
GCD of 105, 711, 836, 865 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 105, 711, 836, 865?
GCD of 105, 711, 836, 865 is 1
2. Where do I get the detailed procedure to find GCD of 105, 711, 836, 865?
You can find a detailed procedure to find GCD of 105, 711, 836, 865 on our page.
3. How to find GCD of 105, 711, 836, 865 on a calculator?
You can find the GCD of 105, 711, 836, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.