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, 827, 57, 368 i.e. 1 largest integer that divides all the numbers equally.
GCD of 289, 827, 57, 368 is 1
GCD(289, 827, 57, 368) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 289, 827, 57, 368 is 1
GCD(289, 827, 57, 368) = 1
Given Input numbers are 289, 827, 57, 368
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 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Greatest Common Divisior
We found the divisors of 289, 827, 57, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 827, 57, 368 is 1.
Therefore, GCD of numbers 289, 827, 57, 368 is 1
Given Input Data is 289, 827, 57, 368
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 289 is 17 x 17
Prime Factorization of 827 is 827
Prime Factorization of 57 is 3 x 19
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
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, 827) = 239003
GCD(289, 827) = ( 289 x 827 ) / 239003
GCD(289, 827) = 239003 / 239003
GCD(289, 827) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 57) = 57
GCD(1, 57) = ( 1 x 57 ) / 57
GCD(1, 57) = 57 / 57
GCD(1, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
GCD of 289, 827, 57, 368 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 289, 827, 57, 368?
GCD of 289, 827, 57, 368 is 1
2. Where do I get the detailed procedure to find GCD of 289, 827, 57, 368?
You can find a detailed procedure to find GCD of 289, 827, 57, 368 on our page.
3. How to find GCD of 289, 827, 57, 368 on a calculator?
You can find the GCD of 289, 827, 57, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.