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 550, 324, 18, 291 i.e. 1 largest integer that divides all the numbers equally.
GCD of 550, 324, 18, 291 is 1
GCD(550, 324, 18, 291) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 324, 18, 291 is 1
GCD(550, 324, 18, 291) = 1
Given Input numbers are 550, 324, 18, 291
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Greatest Common Divisior
We found the divisors of 550, 324, 18, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 324, 18, 291 is 1.
Therefore, GCD of numbers 550, 324, 18, 291 is 1
Given Input Data is 550, 324, 18, 291
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 291 is 3 x 97
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(550, 324) = 89100
GCD(550, 324) = ( 550 x 324 ) / 89100
GCD(550, 324) = 178200 / 89100
GCD(550, 324) = 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 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 291) = 582
GCD(2, 291) = ( 2 x 291 ) / 582
GCD(2, 291) = 582 / 582
GCD(2, 291) = 1
GCD of 550, 324, 18, 291 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 550, 324, 18, 291?
GCD of 550, 324, 18, 291 is 1
2. Where do I get the detailed procedure to find GCD of 550, 324, 18, 291?
You can find a detailed procedure to find GCD of 550, 324, 18, 291 on our page.
3. How to find GCD of 550, 324, 18, 291 on a calculator?
You can find the GCD of 550, 324, 18, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.