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 704, 822, 18, 288 i.e. 2 largest integer that divides all the numbers equally.
GCD of 704, 822, 18, 288 is 2
GCD(704, 822, 18, 288) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 704, 822, 18, 288 is 2
GCD(704, 822, 18, 288) = 2
Given Input numbers are 704, 822, 18, 288
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
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
Greatest Common Divisior
We found the divisors of 704, 822, 18, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 822, 18, 288 is 2.
Therefore, GCD of numbers 704, 822, 18, 288 is 2
Given Input Data is 704, 822, 18, 288
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
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(704, 822) = 289344
GCD(704, 822) = ( 704 x 822 ) / 289344
GCD(704, 822) = 578688 / 289344
GCD(704, 822) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 288) = 288
GCD(2, 288) = ( 2 x 288 ) / 288
GCD(2, 288) = 576 / 288
GCD(2, 288) = 2
GCD of 704, 822, 18, 288 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 704, 822, 18, 288?
GCD of 704, 822, 18, 288 is 2
2. Where do I get the detailed procedure to find GCD of 704, 822, 18, 288?
You can find a detailed procedure to find GCD of 704, 822, 18, 288 on our page.
3. How to find GCD of 704, 822, 18, 288 on a calculator?
You can find the GCD of 704, 822, 18, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.