GCD of 550, 594, 105 Calculator
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, 594, 105 i.e. 1 largest integer that divides all the numbers equally.
GCD of 550, 594, 105 is 1
GCD(550, 594, 105) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 594, 105 is 1
GCD(550, 594, 105) = 1
GCDof 550,594,105 is 1
Given Input numbers are 550, 594, 105
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 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Greatest Common Divisior
We found the divisors of 550, 594, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 594, 105 is 1.
Therefore, GCD of numbers 550, 594, 105 is 1
Given Input Data is 550, 594, 105
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 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 105 is 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 550, 594, 105 using LCM Formula
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, 594) = 14850
GCD(550, 594) = ( 550 x 594 ) / 14850
GCD(550, 594) = 326700 / 14850
GCD(550, 594) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 105) = 2310
GCD(22, 105) = ( 22 x 105 ) / 2310
GCD(22, 105) = 2310 / 2310
GCD(22, 105) = 1
GCD of 550, 594, 105 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 550, 594, 105
1. What is the GCD of 550, 594, 105?
GCD of 550, 594, 105 is 1
2. Where do I get the detailed procedure to find GCD of 550, 594, 105?
You can find a detailed procedure to find GCD of 550, 594, 105 on our page.
3. How to find GCD of 550, 594, 105 on a calculator?
You can find the GCD of 550, 594, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.