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 236, 853, 96, 289 i.e. 1 largest integer that divides all the numbers equally.
GCD of 236, 853, 96, 289 is 1
GCD(236, 853, 96, 289) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 236, 853, 96, 289 is 1
GCD(236, 853, 96, 289) = 1
Given Input numbers are 236, 853, 96, 289
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
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 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Greatest Common Divisior
We found the divisors of 236, 853, 96, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 853, 96, 289 is 1.
Therefore, GCD of numbers 236, 853, 96, 289 is 1
Given Input Data is 236, 853, 96, 289
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 853 is 853
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 289 is 17 x 17
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(236, 853) = 201308
GCD(236, 853) = ( 236 x 853 ) / 201308
GCD(236, 853) = 201308 / 201308
GCD(236, 853) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
GCD of 236, 853, 96, 289 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 236, 853, 96, 289?
GCD of 236, 853, 96, 289 is 1
2. Where do I get the detailed procedure to find GCD of 236, 853, 96, 289?
You can find a detailed procedure to find GCD of 236, 853, 96, 289 on our page.
3. How to find GCD of 236, 853, 96, 289 on a calculator?
You can find the GCD of 236, 853, 96, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.