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 853, 865, 41, 660 i.e. 1 largest integer that divides all the numbers equally.
GCD of 853, 865, 41, 660 is 1
GCD(853, 865, 41, 660) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 853, 865, 41, 660 is 1
GCD(853, 865, 41, 660) = 1
Given Input numbers are 853, 865, 41, 660
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Greatest Common Divisior
We found the divisors of 853, 865, 41, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 865, 41, 660 is 1.
Therefore, GCD of numbers 853, 865, 41, 660 is 1
Given Input Data is 853, 865, 41, 660
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 853 is 853
Prime Factorization of 865 is 5 x 173
Prime Factorization of 41 is 41
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
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(853, 865) = 737845
GCD(853, 865) = ( 853 x 865 ) / 737845
GCD(853, 865) = 737845 / 737845
GCD(853, 865) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
GCD(1, 41) = 41 / 41
GCD(1, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
GCD(1, 660) = 660 / 660
GCD(1, 660) = 1
GCD of 853, 865, 41, 660 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 853, 865, 41, 660?
GCD of 853, 865, 41, 660 is 1
2. Where do I get the detailed procedure to find GCD of 853, 865, 41, 660?
You can find a detailed procedure to find GCD of 853, 865, 41, 660 on our page.
3. How to find GCD of 853, 865, 41, 660 on a calculator?
You can find the GCD of 853, 865, 41, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.