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, 182, 823, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 550, 182, 823, 241 is 1
GCD(550, 182, 823, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 182, 823, 241 is 1
GCD(550, 182, 823, 241) = 1
Given Input numbers are 550, 182, 823, 241
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 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 550, 182, 823, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 182, 823, 241 is 1.
Therefore, GCD of numbers 550, 182, 823, 241 is 1
Given Input Data is 550, 182, 823, 241
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 182 is 2 x 7 x 13
Prime Factorization of 823 is 823
Prime Factorization of 241 is 241
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, 182) = 50050
GCD(550, 182) = ( 550 x 182 ) / 50050
GCD(550, 182) = 100100 / 50050
GCD(550, 182) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 823
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 823) = 1646
GCD(2, 823) = ( 2 x 823 ) / 1646
GCD(2, 823) = 1646 / 1646
GCD(2, 823) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 550, 182, 823, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 550, 182, 823, 241?
GCD of 550, 182, 823, 241 is 1
2. Where do I get the detailed procedure to find GCD of 550, 182, 823, 241?
You can find a detailed procedure to find GCD of 550, 182, 823, 241 on our page.
3. How to find GCD of 550, 182, 823, 241 on a calculator?
You can find the GCD of 550, 182, 823, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.