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 39, 635, 916, 966 i.e. 1 largest integer that divides all the numbers equally.
GCD of 39, 635, 916, 966 is 1
GCD(39, 635, 916, 966) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 39, 635, 916, 966 is 1
GCD(39, 635, 916, 966) = 1
Given Input numbers are 39, 635, 916, 966
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Greatest Common Divisior
We found the divisors of 39, 635, 916, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 635, 916, 966 is 1.
Therefore, GCD of numbers 39, 635, 916, 966 is 1
Given Input Data is 39, 635, 916, 966
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 39 is 3 x 13
Prime Factorization of 635 is 5 x 127
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 966 is 2 x 3 x 7 x 23
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(39, 635) = 24765
GCD(39, 635) = ( 39 x 635 ) / 24765
GCD(39, 635) = 24765 / 24765
GCD(39, 635) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 916
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
GCD(1, 916) = 916 / 916
GCD(1, 916) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
GCD(1, 966) = 966 / 966
GCD(1, 966) = 1
GCD of 39, 635, 916, 966 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 39, 635, 916, 966?
GCD of 39, 635, 916, 966 is 1
2. Where do I get the detailed procedure to find GCD of 39, 635, 916, 966?
You can find a detailed procedure to find GCD of 39, 635, 916, 966 on our page.
3. How to find GCD of 39, 635, 916, 966 on a calculator?
You can find the GCD of 39, 635, 916, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.