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 288, 820, 366, 294 i.e. 2 largest integer that divides all the numbers equally.
GCD of 288, 820, 366, 294 is 2
GCD(288, 820, 366, 294) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 288, 820, 366, 294 is 2
GCD(288, 820, 366, 294) = 2
Given Input numbers are 288, 820, 366, 294
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Greatest Common Divisior
We found the divisors of 288, 820, 366, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 820, 366, 294 is 2.
Therefore, GCD of numbers 288, 820, 366, 294 is 2
Given Input Data is 288, 820, 366, 294
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 294 is 2 x 3 x 7 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(288, 820) = 59040
GCD(288, 820) = ( 288 x 820 ) / 59040
GCD(288, 820) = 236160 / 59040
GCD(288, 820) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 366) = 732
GCD(4, 366) = ( 4 x 366 ) / 732
GCD(4, 366) = 1464 / 732
GCD(4, 366) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 294
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 294) = 294
GCD(2, 294) = ( 2 x 294 ) / 294
GCD(2, 294) = 588 / 294
GCD(2, 294) = 2
GCD of 288, 820, 366, 294 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 288, 820, 366, 294?
GCD of 288, 820, 366, 294 is 2
2. Where do I get the detailed procedure to find GCD of 288, 820, 366, 294?
You can find a detailed procedure to find GCD of 288, 820, 366, 294 on our page.
3. How to find GCD of 288, 820, 366, 294 on a calculator?
You can find the GCD of 288, 820, 366, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.