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 553, 684, 18 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 684, 18 is 1
GCD(553, 684, 18) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 684, 18 is 1
GCD(553, 684, 18) = 1
Given Input numbers are 553, 684, 18
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Greatest Common Divisior
We found the divisors of 553, 684, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 684, 18 is 1.
Therefore, GCD of numbers 553, 684, 18 is 1
Given Input Data is 553, 684, 18
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 18 is 2 x 3 x 3
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(553, 684) = 378252
GCD(553, 684) = ( 553 x 684 ) / 378252
GCD(553, 684) = 378252 / 378252
GCD(553, 684) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
GCD of 553, 684, 18 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 684, 18?
GCD of 553, 684, 18 is 1
2. Where do I get the detailed procedure to find GCD of 553, 684, 18?
You can find a detailed procedure to find GCD of 553, 684, 18 on our page.
3. How to find GCD of 553, 684, 18 on a calculator?
You can find the GCD of 553, 684, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.