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 289, 833, 393, 652 i.e. 1 largest integer that divides all the numbers equally.
GCD of 289, 833, 393, 652 is 1
GCD(289, 833, 393, 652) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 289, 833, 393, 652 is 1
GCD(289, 833, 393, 652) = 1
Given Input numbers are 289, 833, 393, 652
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Greatest Common Divisior
We found the divisors of 289, 833, 393, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 833, 393, 652 is 1.
Therefore, GCD of numbers 289, 833, 393, 652 is 1
Given Input Data is 289, 833, 393, 652
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 289 is 17 x 17
Prime Factorization of 833 is 7 x 7 x 17
Prime Factorization of 393 is 3 x 131
Prime Factorization of 652 is 2 x 2 x 163
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(289, 833) = 14161
GCD(289, 833) = ( 289 x 833 ) / 14161
GCD(289, 833) = 240737 / 14161
GCD(289, 833) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 393) = 6681
GCD(17, 393) = ( 17 x 393 ) / 6681
GCD(17, 393) = 6681 / 6681
GCD(17, 393) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
GCD(1, 652) = 652 / 652
GCD(1, 652) = 1
GCD of 289, 833, 393, 652 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 289, 833, 393, 652?
GCD of 289, 833, 393, 652 is 1
2. Where do I get the detailed procedure to find GCD of 289, 833, 393, 652?
You can find a detailed procedure to find GCD of 289, 833, 393, 652 on our page.
3. How to find GCD of 289, 833, 393, 652 on a calculator?
You can find the GCD of 289, 833, 393, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.