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 965, 832, 36, 996 i.e. 1 largest integer that divides all the numbers equally.
GCD of 965, 832, 36, 996 is 1
GCD(965, 832, 36, 996) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 965, 832, 36, 996 is 1
GCD(965, 832, 36, 996) = 1
Given Input numbers are 965, 832, 36, 996
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Greatest Common Divisior
We found the divisors of 965, 832, 36, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 832, 36, 996 is 1.
Therefore, GCD of numbers 965, 832, 36, 996 is 1
Given Input Data is 965, 832, 36, 996
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 965 is 5 x 193
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 996 is 2 x 2 x 3 x 83
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(965, 832) = 802880
GCD(965, 832) = ( 965 x 832 ) / 802880
GCD(965, 832) = 802880 / 802880
GCD(965, 832) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
GCD(1, 996) = 996 / 996
GCD(1, 996) = 1
GCD of 965, 832, 36, 996 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 965, 832, 36, 996?
GCD of 965, 832, 36, 996 is 1
2. Where do I get the detailed procedure to find GCD of 965, 832, 36, 996?
You can find a detailed procedure to find GCD of 965, 832, 36, 996 on our page.
3. How to find GCD of 965, 832, 36, 996 on a calculator?
You can find the GCD of 965, 832, 36, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.