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 18, 578, 273, 633 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 578, 273, 633 is 1
GCD(18, 578, 273, 633) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 578, 273, 633 is 1
GCD(18, 578, 273, 633) = 1
Given Input numbers are 18, 578, 273, 633
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Greatest Common Divisior
We found the divisors of 18, 578, 273, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 578, 273, 633 is 1.
Therefore, GCD of numbers 18, 578, 273, 633 is 1
Given Input Data is 18, 578, 273, 633
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 578 is 2 x 17 x 17
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 633 is 3 x 211
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(18, 578) = 5202
GCD(18, 578) = ( 18 x 578 ) / 5202
GCD(18, 578) = 10404 / 5202
GCD(18, 578) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 273) = 546
GCD(2, 273) = ( 2 x 273 ) / 546
GCD(2, 273) = 546 / 546
GCD(2, 273) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 633) = 633
GCD(1, 633) = ( 1 x 633 ) / 633
GCD(1, 633) = 633 / 633
GCD(1, 633) = 1
GCD of 18, 578, 273, 633 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 578, 273, 633?
GCD of 18, 578, 273, 633 is 1
2. Where do I get the detailed procedure to find GCD of 18, 578, 273, 633?
You can find a detailed procedure to find GCD of 18, 578, 273, 633 on our page.
3. How to find GCD of 18, 578, 273, 633 on a calculator?
You can find the GCD of 18, 578, 273, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.