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 873, 555, 11, 298 i.e. 1 largest integer that divides all the numbers equally.
GCD of 873, 555, 11, 298 is 1
GCD(873, 555, 11, 298) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 873, 555, 11, 298 is 1
GCD(873, 555, 11, 298) = 1
Given Input numbers are 873, 555, 11, 298
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Greatest Common Divisior
We found the divisors of 873, 555, 11, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 555, 11, 298 is 1.
Therefore, GCD of numbers 873, 555, 11, 298 is 1
Given Input Data is 873, 555, 11, 298
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 555 is 3 x 5 x 37
Prime Factorization of 11 is 11
Prime Factorization of 298 is 2 x 149
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(873, 555) = 161505
GCD(873, 555) = ( 873 x 555 ) / 161505
GCD(873, 555) = 484515 / 161505
GCD(873, 555) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 11) = 33
GCD(3, 11) = ( 3 x 11 ) / 33
GCD(3, 11) = 33 / 33
GCD(3, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 298
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 298) = 298
GCD(1, 298) = ( 1 x 298 ) / 298
GCD(1, 298) = 298 / 298
GCD(1, 298) = 1
GCD of 873, 555, 11, 298 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 873, 555, 11, 298?
GCD of 873, 555, 11, 298 is 1
2. Where do I get the detailed procedure to find GCD of 873, 555, 11, 298?
You can find a detailed procedure to find GCD of 873, 555, 11, 298 on our page.
3. How to find GCD of 873, 555, 11, 298 on a calculator?
You can find the GCD of 873, 555, 11, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.