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, 799, 552, 310 i.e. 1 largest integer that divides all the numbers equally.
GCD of 289, 799, 552, 310 is 1
GCD(289, 799, 552, 310) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 289, 799, 552, 310 is 1
GCD(289, 799, 552, 310) = 1
Given Input numbers are 289, 799, 552, 310
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 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Greatest Common Divisior
We found the divisors of 289, 799, 552, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 799, 552, 310 is 1.
Therefore, GCD of numbers 289, 799, 552, 310 is 1
Given Input Data is 289, 799, 552, 310
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 289 is 17 x 17
Prime Factorization of 799 is 17 x 47
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 310 is 2 x 5 x 31
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, 799) = 13583
GCD(289, 799) = ( 289 x 799 ) / 13583
GCD(289, 799) = 230911 / 13583
GCD(289, 799) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 552
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 552) = 9384
GCD(17, 552) = ( 17 x 552 ) / 9384
GCD(17, 552) = 9384 / 9384
GCD(17, 552) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
GCD(1, 310) = 310 / 310
GCD(1, 310) = 1
GCD of 289, 799, 552, 310 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 289, 799, 552, 310?
GCD of 289, 799, 552, 310 is 1
2. Where do I get the detailed procedure to find GCD of 289, 799, 552, 310?
You can find a detailed procedure to find GCD of 289, 799, 552, 310 on our page.
3. How to find GCD of 289, 799, 552, 310 on a calculator?
You can find the GCD of 289, 799, 552, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.