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 96, 271, 232, 936 i.e. 1 largest integer that divides all the numbers equally.
GCD of 96, 271, 232, 936 is 1
GCD(96, 271, 232, 936) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 271, 232, 936 is 1
GCD(96, 271, 232, 936) = 1
Given Input numbers are 96, 271, 232, 936
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Greatest Common Divisior
We found the divisors of 96, 271, 232, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 271, 232, 936 is 1.
Therefore, GCD of numbers 96, 271, 232, 936 is 1
Given Input Data is 96, 271, 232, 936
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 271 is 271
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
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(96, 271) = 26016
GCD(96, 271) = ( 96 x 271 ) / 26016
GCD(96, 271) = 26016 / 26016
GCD(96, 271) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 232
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 232) = 232
GCD(1, 232) = ( 1 x 232 ) / 232
GCD(1, 232) = 232 / 232
GCD(1, 232) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
GCD of 96, 271, 232, 936 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 96, 271, 232, 936?
GCD of 96, 271, 232, 936 is 1
2. Where do I get the detailed procedure to find GCD of 96, 271, 232, 936?
You can find a detailed procedure to find GCD of 96, 271, 232, 936 on our page.
3. How to find GCD of 96, 271, 232, 936 on a calculator?
You can find the GCD of 96, 271, 232, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.