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 60, 333, 256, 873 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 333, 256, 873 is 1
GCD(60, 333, 256, 873) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 333, 256, 873 is 1
GCD(60, 333, 256, 873) = 1
Given Input numbers are 60, 333, 256, 873
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Greatest Common Divisior
We found the divisors of 60, 333, 256, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 333, 256, 873 is 1.
Therefore, GCD of numbers 60, 333, 256, 873 is 1
Given Input Data is 60, 333, 256, 873
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 873 is 3 x 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(60, 333) = 6660
GCD(60, 333) = ( 60 x 333 ) / 6660
GCD(60, 333) = 19980 / 6660
GCD(60, 333) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 256
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 256) = 768
GCD(3, 256) = ( 3 x 256 ) / 768
GCD(3, 256) = 768 / 768
GCD(3, 256) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 873) = 873
GCD(1, 873) = ( 1 x 873 ) / 873
GCD(1, 873) = 873 / 873
GCD(1, 873) = 1
GCD of 60, 333, 256, 873 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 333, 256, 873?
GCD of 60, 333, 256, 873 is 1
2. Where do I get the detailed procedure to find GCD of 60, 333, 256, 873?
You can find a detailed procedure to find GCD of 60, 333, 256, 873 on our page.
3. How to find GCD of 60, 333, 256, 873 on a calculator?
You can find the GCD of 60, 333, 256, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.