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 333, 687, 270, 250 i.e. 1 largest integer that divides all the numbers equally.
GCD of 333, 687, 270, 250 is 1
GCD(333, 687, 270, 250) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 333, 687, 270, 250 is 1
GCD(333, 687, 270, 250) = 1
Given Input numbers are 333, 687, 270, 250
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Greatest Common Divisior
We found the divisors of 333, 687, 270, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 687, 270, 250 is 1.
Therefore, GCD of numbers 333, 687, 270, 250 is 1
Given Input Data is 333, 687, 270, 250
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 687 is 3 x 229
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 250 is 2 x 5 x 5 x 5
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(333, 687) = 76257
GCD(333, 687) = ( 333 x 687 ) / 76257
GCD(333, 687) = 228771 / 76257
GCD(333, 687) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 270) = 270
GCD(3, 270) = ( 3 x 270 ) / 270
GCD(3, 270) = 810 / 270
GCD(3, 270) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 250
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 250) = 750
GCD(3, 250) = ( 3 x 250 ) / 750
GCD(3, 250) = 750 / 750
GCD(3, 250) = 1
GCD of 333, 687, 270, 250 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 333, 687, 270, 250?
GCD of 333, 687, 270, 250 is 1
2. Where do I get the detailed procedure to find GCD of 333, 687, 270, 250?
You can find a detailed procedure to find GCD of 333, 687, 270, 250 on our page.
3. How to find GCD of 333, 687, 270, 250 on a calculator?
You can find the GCD of 333, 687, 270, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.